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Finding the Third Proportional to 403,498 and 606,988

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Solution

The third proportional to 403,498 and 606,988 is: 913,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,498 : 606,988 = 606,988 : x
  2. Step 2: Convert to fraction form
    403,498/606,988 = 606,988/x
  3. Step 3: Cross multiply
    403,498x = 606,988 × 606,988
  4. Step 4: Simplify right side
    403,498x = 368,434,432,144
  5. Step 5: Solve for x
    x = 368,434,432,144/403,498
  6. Step 6: Final answer
    x = 913,101.01

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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.