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Finding the Third Proportional to 387,973.13 and 598,566.38

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Solution

The third proportional to 387,973.13 and 598,566.38 is: 923,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,973.13 : 598,566.38 = 598,566.38 : x
  2. Step 2: Convert to fraction form
    387,973.13/598,566.38 = 598,566.38/x
  3. Step 3: Cross multiply
    387,973.13x = 598,566.38 × 598,566.38
  4. Step 4: Simplify right side
    387,973.13x = 358,281,705,280.64
  5. Step 5: Solve for x
    x = 358,281,705,280.64/387,973.13
  6. Step 6: Final answer
    x = 923,470.42

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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.