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Finding the Third Proportional to 377,922,979.13 and 540,430,504.88

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Solution

The third proportional to 377,922,979.13 and 540,430,504.88 is: 772,816,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,922,979.13 : 540,430,504.88 = 540,430,504.88 : x
  2. Step 2: Convert to fraction form
    377,922,979.13/540,430,504.88 = 540,430,504.88/x
  3. Step 3: Cross multiply
    377,922,979.13x = 540,430,504.88 × 540,430,504.88
  4. Step 4: Simplify right side
    377,922,979.13x = 292,065,130,599,447,424
  5. Step 5: Solve for x
    x = 292,065,130,599,447,424/377,922,979.13
  6. Step 6: Final answer
    x = 772,816,543.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.