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Finding the Third Proportional to 261,312 and 572,448

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Solution

The third proportional to 261,312 and 572,448 is: 1,254,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,312 : 572,448 = 572,448 : x
  2. Step 2: Convert to fraction form
    261,312/572,448 = 572,448/x
  3. Step 3: Cross multiply
    261,312x = 572,448 × 572,448
  4. Step 4: Simplify right side
    261,312x = 327,696,712,704
  5. Step 5: Solve for x
    x = 327,696,712,704/261,312
  6. Step 6: Final answer
    x = 1,254,043.87

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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.