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Finding the Third Proportional to 265,588 and 572,648

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Solution

The third proportional to 265,588 and 572,648 is: 1,234,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,588 : 572,648 = 572,648 : x
  2. Step 2: Convert to fraction form
    265,588/572,648 = 572,648/x
  3. Step 3: Cross multiply
    265,588x = 572,648 × 572,648
  4. Step 4: Simplify right side
    265,588x = 327,925,731,904
  5. Step 5: Solve for x
    x = 327,925,731,904/265,588
  6. Step 6: Final answer
    x = 1,234,715.92

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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.