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Finding the Third Proportional to 476,280 and 736,816

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Solution

The third proportional to 476,280 and 736,816 is: 1,139,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,280 : 736,816 = 736,816 : x
  2. Step 2: Convert to fraction form
    476,280/736,816 = 736,816/x
  3. Step 3: Cross multiply
    476,280x = 736,816 × 736,816
  4. Step 4: Simplify right side
    476,280x = 542,897,817,856
  5. Step 5: Solve for x
    x = 542,897,817,856/476,280
  6. Step 6: Final answer
    x = 1,139,871.12

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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.