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Finding the Third Proportional to 452,758 and 612,706

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Solution

The third proportional to 452,758 and 612,706 is: 829,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,758 : 612,706 = 612,706 : x
  2. Step 2: Convert to fraction form
    452,758/612,706 = 612,706/x
  3. Step 3: Cross multiply
    452,758x = 612,706 × 612,706
  4. Step 4: Simplify right side
    452,758x = 375,408,642,436
  5. Step 5: Solve for x
    x = 375,408,642,436/452,758
  6. Step 6: Final answer
    x = 829,159.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.