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Finding the Third Proportional to 459,301 and 653,230

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Solution

The third proportional to 459,301 and 653,230 is: 929,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,301 : 653,230 = 653,230 : x
  2. Step 2: Convert to fraction form
    459,301/653,230 = 653,230/x
  3. Step 3: Cross multiply
    459,301x = 653,230 × 653,230
  4. Step 4: Simplify right side
    459,301x = 426,709,432,900
  5. Step 5: Solve for x
    x = 426,709,432,900/459,301
  6. Step 6: Final answer
    x = 929,040.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.