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Finding the Third Proportional to 616,335 and 865,390.50

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Solution

The third proportional to 616,335 and 865,390.50 is: 1,215,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,335 : 865,390.50 = 865,390.50 : x
  2. Step 2: Convert to fraction form
    616,335/865,390.50 = 865,390.50/x
  3. Step 3: Cross multiply
    616,335x = 865,390.50 × 865,390.50
  4. Step 4: Simplify right side
    616,335x = 748,900,717,490.25
  5. Step 5: Solve for x
    x = 748,900,717,490.25/616,335
  6. Step 6: Final answer
    x = 1,215,087.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.