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Finding the Third Proportional to 403,143 and 602,607

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Solution

The third proportional to 403,143 and 602,607 is: 900,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,143 : 602,607 = 602,607 : x
  2. Step 2: Convert to fraction form
    403,143/602,607 = 602,607/x
  3. Step 3: Cross multiply
    403,143x = 602,607 × 602,607
  4. Step 4: Simplify right side
    403,143x = 363,135,196,449
  5. Step 5: Solve for x
    x = 363,135,196,449/403,143
  6. Step 6: Final answer
    x = 900,760.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.