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Finding the Third Proportional to 348,528 and 762,664

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Solution

The third proportional to 348,528 and 762,664 is: 1,668,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,528 : 762,664 = 762,664 : x
  2. Step 2: Convert to fraction form
    348,528/762,664 = 762,664/x
  3. Step 3: Cross multiply
    348,528x = 762,664 × 762,664
  4. Step 4: Simplify right side
    348,528x = 581,656,376,896
  5. Step 5: Solve for x
    x = 581,656,376,896/348,528
  6. Step 6: Final answer
    x = 1,668,894.25

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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.