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Finding the Third Proportional to 242,932 and 530,076

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Solution

The third proportional to 242,932 and 530,076 is: 1,156,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,932 : 530,076 = 530,076 : x
  2. Step 2: Convert to fraction form
    242,932/530,076 = 530,076/x
  3. Step 3: Cross multiply
    242,932x = 530,076 × 530,076
  4. Step 4: Simplify right side
    242,932x = 280,980,565,776
  5. Step 5: Solve for x
    x = 280,980,565,776/242,932
  6. Step 6: Final answer
    x = 1,156,622.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.