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Finding the Third Proportional to 338,510 and 735,292

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Solution

The third proportional to 338,510 and 735,292 is: 1,597,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,510 : 735,292 = 735,292 : x
  2. Step 2: Convert to fraction form
    338,510/735,292 = 735,292/x
  3. Step 3: Cross multiply
    338,510x = 735,292 × 735,292
  4. Step 4: Simplify right side
    338,510x = 540,654,325,264
  5. Step 5: Solve for x
    x = 540,654,325,264/338,510
  6. Step 6: Final answer
    x = 1,597,159.10

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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.