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Finding the Third Proportional to 649,801.50 and 974,702.25

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Solution

The third proportional to 649,801.50 and 974,702.25 is: 1,462,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,801.50 : 974,702.25 = 974,702.25 : x
  2. Step 2: Convert to fraction form
    649,801.50/974,702.25 = 974,702.25/x
  3. Step 3: Cross multiply
    649,801.50x = 974,702.25 × 974,702.25
  4. Step 4: Simplify right side
    649,801.50x = 950,044,476,155.06
  5. Step 5: Solve for x
    x = 950,044,476,155.06/649,801.50
  6. Step 6: Final answer
    x = 1,462,053.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.