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Finding the Third Proportional to 535,117 and 807,213

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Solution

The third proportional to 535,117 and 807,213 is: 1,217,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,117 : 807,213 = 807,213 : x
  2. Step 2: Convert to fraction form
    535,117/807,213 = 807,213/x
  3. Step 3: Cross multiply
    535,117x = 807,213 × 807,213
  4. Step 4: Simplify right side
    535,117x = 651,592,827,369
  5. Step 5: Solve for x
    x = 651,592,827,369/535,117
  6. Step 6: Final answer
    x = 1,217,664.23

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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.