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Finding the Third Proportional to 436,642 and 652,259

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Solution

The third proportional to 436,642 and 652,259 is: 974,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,642 : 652,259 = 652,259 : x
  2. Step 2: Convert to fraction form
    436,642/652,259 = 652,259/x
  3. Step 3: Cross multiply
    436,642x = 652,259 × 652,259
  4. Step 4: Simplify right side
    436,642x = 425,441,803,081
  5. Step 5: Solve for x
    x = 425,441,803,081/436,642
  6. Step 6: Final answer
    x = 974,349.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.