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Finding the Third Proportional to 245,624 and 537,073

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Solution

The third proportional to 245,624 and 537,073 is: 1,174,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,624 : 537,073 = 537,073 : x
  2. Step 2: Convert to fraction form
    245,624/537,073 = 537,073/x
  3. Step 3: Cross multiply
    245,624x = 537,073 × 537,073
  4. Step 4: Simplify right side
    245,624x = 288,447,407,329
  5. Step 5: Solve for x
    x = 288,447,407,329/245,624
  6. Step 6: Final answer
    x = 1,174,345.37

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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.