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Finding the Third Proportional to 475,069 and 736,706

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Solution

The third proportional to 475,069 and 736,706 is: 1,142,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,069 : 736,706 = 736,706 : x
  2. Step 2: Convert to fraction form
    475,069/736,706 = 736,706/x
  3. Step 3: Cross multiply
    475,069x = 736,706 × 736,706
  4. Step 4: Simplify right side
    475,069x = 542,735,730,436
  5. Step 5: Solve for x
    x = 542,735,730,436/475,069
  6. Step 6: Final answer
    x = 1,142,435.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.