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Finding the Third Proportional to 245,494 and 360,465

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Solution

The third proportional to 245,494 and 360,465 is: 529,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,494 : 360,465 = 360,465 : x
  2. Step 2: Convert to fraction form
    245,494/360,465 = 360,465/x
  3. Step 3: Cross multiply
    245,494x = 360,465 × 360,465
  4. Step 4: Simplify right side
    245,494x = 129,935,016,225
  5. Step 5: Solve for x
    x = 129,935,016,225/245,494
  6. Step 6: Final answer
    x = 529,279.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.