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Finding the Third Proportional to 242,493.50 and 521,461

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Solution

The third proportional to 242,493.50 and 521,461 is: 1,121,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,493.50 : 521,461 = 521,461 : x
  2. Step 2: Convert to fraction form
    242,493.50/521,461 = 521,461/x
  3. Step 3: Cross multiply
    242,493.50x = 521,461 × 521,461
  4. Step 4: Simplify right side
    242,493.50x = 271,921,574,521
  5. Step 5: Solve for x
    x = 271,921,574,521/242,493.50
  6. Step 6: Final answer
    x = 1,121,356.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.