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Finding the Third Proportional to 530,222 and 803,055

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Solution

The third proportional to 530,222 and 803,055 is: 1,216,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,222 : 803,055 = 803,055 : x
  2. Step 2: Convert to fraction form
    530,222/803,055 = 803,055/x
  3. Step 3: Cross multiply
    530,222x = 803,055 × 803,055
  4. Step 4: Simplify right side
    530,222x = 644,897,333,025
  5. Step 5: Solve for x
    x = 644,897,333,025/530,222
  6. Step 6: Final answer
    x = 1,216,277.96

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Why These Related Problems?

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