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Finding the Third Proportional to 280,044 and 614,522

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Solution

The third proportional to 280,044 and 614,522 is: 1,348,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,044 : 614,522 = 614,522 : x
  2. Step 2: Convert to fraction form
    280,044/614,522 = 614,522/x
  3. Step 3: Cross multiply
    280,044x = 614,522 × 614,522
  4. Step 4: Simplify right side
    280,044x = 377,637,288,484
  5. Step 5: Solve for x
    x = 377,637,288,484/280,044
  6. Step 6: Final answer
    x = 1,348,492.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.