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Finding the Third Proportional to 316,528 and 732,133

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Solution

The third proportional to 316,528 and 732,133 is: 1,693,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,528 : 732,133 = 732,133 : x
  2. Step 2: Convert to fraction form
    316,528/732,133 = 732,133/x
  3. Step 3: Cross multiply
    316,528x = 732,133 × 732,133
  4. Step 4: Simplify right side
    316,528x = 536,018,729,689
  5. Step 5: Solve for x
    x = 536,018,729,689/316,528
  6. Step 6: Final answer
    x = 1,693,432.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.