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Finding the Third Proportional to 477,652.50 and 696,789

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Solution

The third proportional to 477,652.50 and 696,789 is: 1,016,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,652.50 : 696,789 = 696,789 : x
  2. Step 2: Convert to fraction form
    477,652.50/696,789 = 696,789/x
  3. Step 3: Cross multiply
    477,652.50x = 696,789 × 696,789
  4. Step 4: Simplify right side
    477,652.50x = 485,514,910,521
  5. Step 5: Solve for x
    x = 485,514,910,521/477,652.50
  6. Step 6: Final answer
    x = 1,016,460.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.