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Finding the Third Proportional to 535,113 and 807,207

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Solution

The third proportional to 535,113 and 807,207 is: 1,217,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,113 : 807,207 = 807,207 : x
  2. Step 2: Convert to fraction form
    535,113/807,207 = 807,207/x
  3. Step 3: Cross multiply
    535,113x = 807,207 × 807,207
  4. Step 4: Simplify right side
    535,113x = 651,583,140,849
  5. Step 5: Solve for x
    x = 651,583,140,849/535,113
  6. Step 6: Final answer
    x = 1,217,655.23

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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.