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Finding the Third Proportional to 508,232 and 677,551

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Solution

The third proportional to 508,232 and 677,551 is: 903,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,232 : 677,551 = 677,551 : x
  2. Step 2: Convert to fraction form
    508,232/677,551 = 677,551/x
  3. Step 3: Cross multiply
    508,232x = 677,551 × 677,551
  4. Step 4: Simplify right side
    508,232x = 459,075,357,601
  5. Step 5: Solve for x
    x = 459,075,357,601/508,232
  6. Step 6: Final answer
    x = 903,279.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.