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Finding the Third Proportional to 387,456,973.50 and 596,350,795.50

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Solution

The third proportional to 387,456,973.50 and 596,350,795.50 is: 917,867,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,456,973.50 : 596,350,795.50 = 596,350,795.50 : x
  2. Step 2: Convert to fraction form
    387,456,973.50/596,350,795.50 = 596,350,795.50/x
  3. Step 3: Cross multiply
    387,456,973.50x = 596,350,795.50 × 596,350,795.50
  4. Step 4: Simplify right side
    387,456,973.50x = 355,634,271,293,482,816
  5. Step 5: Solve for x
    x = 355,634,271,293,482,816/387,456,973.50
  6. Step 6: Final answer
    x = 917,867,777.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.