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Finding the Third Proportional to 216,339 and 473,461

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Solution

The third proportional to 216,339 and 473,461 is: 1,036,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,339 : 473,461 = 473,461 : x
  2. Step 2: Convert to fraction form
    216,339/473,461 = 473,461/x
  3. Step 3: Cross multiply
    216,339x = 473,461 × 473,461
  4. Step 4: Simplify right side
    216,339x = 224,165,318,521
  5. Step 5: Solve for x
    x = 224,165,318,521/216,339
  6. Step 6: Final answer
    x = 1,036,176.18

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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.