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Finding the Third Proportional to 475,065 and 736,220

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Solution

The third proportional to 475,065 and 736,220 is: 1,140,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,065 : 736,220 = 736,220 : x
  2. Step 2: Convert to fraction form
    475,065/736,220 = 736,220/x
  3. Step 3: Cross multiply
    475,065x = 736,220 × 736,220
  4. Step 4: Simplify right side
    475,065x = 542,019,888,400
  5. Step 5: Solve for x
    x = 542,019,888,400/475,065
  6. Step 6: Final answer
    x = 1,140,938.37

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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.