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Finding the Third Proportional to 530,221 and 803,053.50

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Solution

The third proportional to 530,221 and 803,053.50 is: 1,216,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,221 : 803,053.50 = 803,053.50 : x
  2. Step 2: Convert to fraction form
    530,221/803,053.50 = 803,053.50/x
  3. Step 3: Cross multiply
    530,221x = 803,053.50 × 803,053.50
  4. Step 4: Simplify right side
    530,221x = 644,894,923,862.25
  5. Step 5: Solve for x
    x = 644,894,923,862.25/530,221
  6. Step 6: Final answer
    x = 1,216,275.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.