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Finding the Third Proportional to 316,528 and 747,202

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Solution

The third proportional to 316,528 and 747,202 is: 1,763,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,528 : 747,202 = 747,202 : x
  2. Step 2: Convert to fraction form
    316,528/747,202 = 747,202/x
  3. Step 3: Cross multiply
    316,528x = 747,202 × 747,202
  4. Step 4: Simplify right side
    316,528x = 558,310,828,804
  5. Step 5: Solve for x
    x = 558,310,828,804/316,528
  6. Step 6: Final answer
    x = 1,763,859.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.