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Finding the Third Proportional to 507,280 and 759,534

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Solution

The third proportional to 507,280 and 759,534 is: 1,137,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,280 : 759,534 = 759,534 : x
  2. Step 2: Convert to fraction form
    507,280/759,534 = 759,534/x
  3. Step 3: Cross multiply
    507,280x = 759,534 × 759,534
  4. Step 4: Simplify right side
    507,280x = 576,891,897,156
  5. Step 5: Solve for x
    x = 576,891,897,156/507,280
  6. Step 6: Final answer
    x = 1,137,225.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.