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Finding the Third Proportional to 245,313 and 537,282

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Solution

The third proportional to 245,313 and 537,282 is: 1,176,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,313 : 537,282 = 537,282 : x
  2. Step 2: Convert to fraction form
    245,313/537,282 = 537,282/x
  3. Step 3: Cross multiply
    245,313x = 537,282 × 537,282
  4. Step 4: Simplify right side
    245,313x = 288,671,947,524
  5. Step 5: Solve for x
    x = 288,671,947,524/245,313
  6. Step 6: Final answer
    x = 1,176,749.49

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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.