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Finding the Third Proportional to 410,952 and 605,346

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Solution

The third proportional to 410,952 and 605,346 is: 891,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,952 : 605,346 = 605,346 : x
  2. Step 2: Convert to fraction form
    410,952/605,346 = 605,346/x
  3. Step 3: Cross multiply
    410,952x = 605,346 × 605,346
  4. Step 4: Simplify right side
    410,952x = 366,443,779,716
  5. Step 5: Solve for x
    x = 366,443,779,716/410,952
  6. Step 6: Final answer
    x = 891,694.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.