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Finding the Third Proportional to 357,552 and 530,143.31

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Solution

The third proportional to 357,552 and 530,143.31 is: 786,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,552 : 530,143.31 = 530,143.31 : x
  2. Step 2: Convert to fraction form
    357,552/530,143.31 = 530,143.31/x
  3. Step 3: Cross multiply
    357,552x = 530,143.31 × 530,143.31
  4. Step 4: Simplify right side
    357,552x = 281,051,931,788.47
  5. Step 5: Solve for x
    x = 281,051,931,788.47/357,552
  6. Step 6: Final answer
    x = 786,044.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.