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Finding the Third Proportional to 265,295.13 and 572,603.52

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Solution

The third proportional to 265,295.13 and 572,603.52 is: 1,235,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,295.13 : 572,603.52 = 572,603.52 : x
  2. Step 2: Convert to fraction form
    265,295.13/572,603.52 = 572,603.52/x
  3. Step 3: Cross multiply
    265,295.13x = 572,603.52 × 572,603.52
  4. Step 4: Simplify right side
    265,295.13x = 327,874,785,546.91
  5. Step 5: Solve for x
    x = 327,874,785,546.91/265,295.13
  6. Step 6: Final answer
    x = 1,235,886.93

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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.