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Finding the Third Proportional to 351,948 and 566,658

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Solution

The third proportional to 351,948 and 566,658 is: 912,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,948 : 566,658 = 566,658 : x
  2. Step 2: Convert to fraction form
    351,948/566,658 = 566,658/x
  3. Step 3: Cross multiply
    351,948x = 566,658 × 566,658
  4. Step 4: Simplify right side
    351,948x = 321,101,288,964
  5. Step 5: Solve for x
    x = 321,101,288,964/351,948
  6. Step 6: Final answer
    x = 912,354.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.