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Finding the Third Proportional to 442,810 and 597,968

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Solution

The third proportional to 442,810 and 597,968 is: 807,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,810 : 597,968 = 597,968 : x
  2. Step 2: Convert to fraction form
    442,810/597,968 = 597,968/x
  3. Step 3: Cross multiply
    442,810x = 597,968 × 597,968
  4. Step 4: Simplify right side
    442,810x = 357,565,729,024
  5. Step 5: Solve for x
    x = 357,565,729,024/442,810
  6. Step 6: Final answer
    x = 807,492.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.