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Finding the Third Proportional to 676,603.13 and 783,766.13

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Solution

The third proportional to 676,603.13 and 783,766.13 is: 907,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,603.13 : 783,766.13 = 783,766.13 : x
  2. Step 2: Convert to fraction form
    676,603.13/783,766.13 = 783,766.13/x
  3. Step 3: Cross multiply
    676,603.13x = 783,766.13 × 783,766.13
  4. Step 4: Simplify right side
    676,603.13x = 614,289,338,697.52
  5. Step 5: Solve for x
    x = 614,289,338,697.52/676,603.13
  6. Step 6: Final answer
    x = 907,902.01

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.