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Finding the Third Proportional to 458,607 and 660,565.50

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Solution

The third proportional to 458,607 and 660,565.50 is: 951,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,607 : 660,565.50 = 660,565.50 : x
  2. Step 2: Convert to fraction form
    458,607/660,565.50 = 660,565.50/x
  3. Step 3: Cross multiply
    458,607x = 660,565.50 × 660,565.50
  4. Step 4: Simplify right side
    458,607x = 436,346,779,790.25
  5. Step 5: Solve for x
    x = 436,346,779,790.25/458,607
  6. Step 6: Final answer
    x = 951,461.23

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.