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Finding the Third Proportional to 387,910.69 and 602,045.16

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Solution

The third proportional to 387,910.69 and 602,045.16 is: 934,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,910.69 : 602,045.16 = 602,045.16 : x
  2. Step 2: Convert to fraction form
    387,910.69/602,045.16 = 602,045.16/x
  3. Step 3: Cross multiply
    387,910.69x = 602,045.16 × 602,045.16
  4. Step 4: Simplify right side
    387,910.69x = 362,458,370,164.09
  5. Step 5: Solve for x
    x = 362,458,370,164.09/387,910.69
  6. Step 6: Final answer
    x = 934,386.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.