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Finding the Third Proportional to 247,926 and 537,066

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Solution

The third proportional to 247,926 and 537,066 is: 1,163,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,926 : 537,066 = 537,066 : x
  2. Step 2: Convert to fraction form
    247,926/537,066 = 537,066/x
  3. Step 3: Cross multiply
    247,926x = 537,066 × 537,066
  4. Step 4: Simplify right side
    247,926x = 288,439,888,356
  5. Step 5: Solve for x
    x = 288,439,888,356/247,926
  6. Step 6: Final answer
    x = 1,163,411.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.