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Finding the Third Proportional to 506,378 and 761,207

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Solution

The third proportional to 506,378 and 761,207 is: 1,144,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,378 : 761,207 = 761,207 : x
  2. Step 2: Convert to fraction form
    506,378/761,207 = 761,207/x
  3. Step 3: Cross multiply
    506,378x = 761,207 × 761,207
  4. Step 4: Simplify right side
    506,378x = 579,436,096,849
  5. Step 5: Solve for x
    x = 579,436,096,849/506,378
  6. Step 6: Final answer
    x = 1,144,275.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.