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Finding the Third Proportional to 261,947.63 and 572,931.75

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Solution

The third proportional to 261,947.63 and 572,931.75 is: 1,253,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,947.63 : 572,931.75 = 572,931.75 : x
  2. Step 2: Convert to fraction form
    261,947.63/572,931.75 = 572,931.75/x
  3. Step 3: Cross multiply
    261,947.63x = 572,931.75 × 572,931.75
  4. Step 4: Simplify right side
    261,947.63x = 328,250,790,158.06
  5. Step 5: Solve for x
    x = 328,250,790,158.06/261,947.63
  6. Step 6: Final answer
    x = 1,253,116.11

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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.