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Finding the Third Proportional to 369,070 and 807,069

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Solution

The third proportional to 369,070 and 807,069 is: 1,764,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,070 : 807,069 = 807,069 : x
  2. Step 2: Convert to fraction form
    369,070/807,069 = 807,069/x
  3. Step 3: Cross multiply
    369,070x = 807,069 × 807,069
  4. Step 4: Simplify right side
    369,070x = 651,360,370,761
  5. Step 5: Solve for x
    x = 651,360,370,761/369,070
  6. Step 6: Final answer
    x = 1,764,869.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.