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Finding the Third Proportional to 423,202 and 574,113

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Solution

The third proportional to 423,202 and 574,113 is: 778,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,202 : 574,113 = 574,113 : x
  2. Step 2: Convert to fraction form
    423,202/574,113 = 574,113/x
  3. Step 3: Cross multiply
    423,202x = 574,113 × 574,113
  4. Step 4: Simplify right side
    423,202x = 329,605,736,769
  5. Step 5: Solve for x
    x = 329,605,736,769/423,202
  6. Step 6: Final answer
    x = 778,837.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.