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Finding the Third Proportional to 265,195.50 and 572,754

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Solution

The third proportional to 265,195.50 and 572,754 is: 1,237,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,195.50 : 572,754 = 572,754 : x
  2. Step 2: Convert to fraction form
    265,195.50/572,754 = 572,754/x
  3. Step 3: Cross multiply
    265,195.50x = 572,754 × 572,754
  4. Step 4: Simplify right side
    265,195.50x = 328,047,144,516
  5. Step 5: Solve for x
    x = 328,047,144,516/265,195.50
  6. Step 6: Final answer
    x = 1,237,001.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.