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Finding the Third Proportional to 530,214 and 803,043

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Solution

The third proportional to 530,214 and 803,043 is: 1,216,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,214 : 803,043 = 803,043 : x
  2. Step 2: Convert to fraction form
    530,214/803,043 = 803,043/x
  3. Step 3: Cross multiply
    530,214x = 803,043 × 803,043
  4. Step 4: Simplify right side
    530,214x = 644,878,059,849
  5. Step 5: Solve for x
    x = 644,878,059,849/530,214
  6. Step 6: Final answer
    x = 1,216,259.96

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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.