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Finding the Third Proportional to 402,714 and 604,032

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Solution

The third proportional to 402,714 and 604,032 is: 905,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,714 : 604,032 = 604,032 : x
  2. Step 2: Convert to fraction form
    402,714/604,032 = 604,032/x
  3. Step 3: Cross multiply
    402,714x = 604,032 × 604,032
  4. Step 4: Simplify right side
    402,714x = 364,854,657,024
  5. Step 5: Solve for x
    x = 364,854,657,024/402,714
  6. Step 6: Final answer
    x = 905,989.50

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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.