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Finding the Third Proportional to 247,944 and 537,117

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Solution

The third proportional to 247,944 and 537,117 is: 1,163,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,944 : 537,117 = 537,117 : x
  2. Step 2: Convert to fraction form
    247,944/537,117 = 537,117/x
  3. Step 3: Cross multiply
    247,944x = 537,117 × 537,117
  4. Step 4: Simplify right side
    247,944x = 288,494,671,689
  5. Step 5: Solve for x
    x = 288,494,671,689/247,944
  6. Step 6: Final answer
    x = 1,163,547.70

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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.