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Finding the Third Proportional to 507,657 and 761,583

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Solution

The third proportional to 507,657 and 761,583 is: 1,142,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,657 : 761,583 = 761,583 : x
  2. Step 2: Convert to fraction form
    507,657/761,583 = 761,583/x
  3. Step 3: Cross multiply
    507,657x = 761,583 × 761,583
  4. Step 4: Simplify right side
    507,657x = 580,008,665,889
  5. Step 5: Solve for x
    x = 580,008,665,889/507,657
  6. Step 6: Final answer
    x = 1,142,520.77

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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.