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Finding the Third Proportional to 352,565 and 537,113

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Solution

The third proportional to 352,565 and 537,113 is: 818,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,565 : 537,113 = 537,113 : x
  2. Step 2: Convert to fraction form
    352,565/537,113 = 537,113/x
  3. Step 3: Cross multiply
    352,565x = 537,113 × 537,113
  4. Step 4: Simplify right side
    352,565x = 288,490,374,769
  5. Step 5: Solve for x
    x = 288,490,374,769/352,565
  6. Step 6: Final answer
    x = 818,261.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.