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Finding the Third Proportional to 478,426 and 650,030

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Solution

The third proportional to 478,426 and 650,030 is: 883,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,426 : 650,030 = 650,030 : x
  2. Step 2: Convert to fraction form
    478,426/650,030 = 650,030/x
  3. Step 3: Cross multiply
    478,426x = 650,030 × 650,030
  4. Step 4: Simplify right side
    478,426x = 422,539,000,900
  5. Step 5: Solve for x
    x = 422,539,000,900/478,426
  6. Step 6: Final answer
    x = 883,185.70

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