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Finding the Third Proportional to 478,428 and 650,033

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Solution

The third proportional to 478,428 and 650,033 is: 883,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,428 : 650,033 = 650,033 : x
  2. Step 2: Convert to fraction form
    478,428/650,033 = 650,033/x
  3. Step 3: Cross multiply
    478,428x = 650,033 × 650,033
  4. Step 4: Simplify right side
    478,428x = 422,542,901,089
  5. Step 5: Solve for x
    x = 422,542,901,089/478,428
  6. Step 6: Final answer
    x = 883,190.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.