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Finding the Third Proportional to 338,498 and 735,348

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Solution

The third proportional to 338,498 and 735,348 is: 1,597,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,498 : 735,348 = 735,348 : x
  2. Step 2: Convert to fraction form
    338,498/735,348 = 735,348/x
  3. Step 3: Cross multiply
    338,498x = 735,348 × 735,348
  4. Step 4: Simplify right side
    338,498x = 540,736,681,104
  5. Step 5: Solve for x
    x = 540,736,681,104/338,498
  6. Step 6: Final answer
    x = 1,597,459.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.