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Finding the Third Proportional to 423,298.50 and 655,710

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Solution

The third proportional to 423,298.50 and 655,710 is: 1,015,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,298.50 : 655,710 = 655,710 : x
  2. Step 2: Convert to fraction form
    423,298.50/655,710 = 655,710/x
  3. Step 3: Cross multiply
    423,298.50x = 655,710 × 655,710
  4. Step 4: Simplify right side
    423,298.50x = 429,955,604,100
  5. Step 5: Solve for x
    x = 429,955,604,100/423,298.50
  6. Step 6: Final answer
    x = 1,015,726.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.