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Finding the Third Proportional to 456,319.50 and 709,369.13

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Solution

The third proportional to 456,319.50 and 709,369.13 is: 1,102,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,319.50 : 709,369.13 = 709,369.13 : x
  2. Step 2: Convert to fraction form
    456,319.50/709,369.13 = 709,369.13/x
  3. Step 3: Cross multiply
    456,319.50x = 709,369.13 × 709,369.13
  4. Step 4: Simplify right side
    456,319.50x = 503,204,555,503.27
  5. Step 5: Solve for x
    x = 503,204,555,503.27/456,319.50
  6. Step 6: Final answer
    x = 1,102,746.11

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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.