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Finding the Third Proportional to 530,220 and 803,052

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Solution

The third proportional to 530,220 and 803,052 is: 1,216,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,220 : 803,052 = 803,052 : x
  2. Step 2: Convert to fraction form
    530,220/803,052 = 803,052/x
  3. Step 3: Cross multiply
    530,220x = 803,052 × 803,052
  4. Step 4: Simplify right side
    530,220x = 644,892,514,704
  5. Step 5: Solve for x
    x = 644,892,514,704/530,220
  6. Step 6: Final answer
    x = 1,216,273.46

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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.