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Finding the Third Proportional to 579,457 and 852,432

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Solution

The third proportional to 579,457 and 852,432 is: 1,254,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,457 : 852,432 = 852,432 : x
  2. Step 2: Convert to fraction form
    579,457/852,432 = 852,432/x
  3. Step 3: Cross multiply
    579,457x = 852,432 × 852,432
  4. Step 4: Simplify right side
    579,457x = 726,640,314,624
  5. Step 5: Solve for x
    x = 726,640,314,624/579,457
  6. Step 6: Final answer
    x = 1,254,002.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.