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Finding the Third Proportional to 265,320.56 and 549,640.69

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Solution

The third proportional to 265,320.56 and 549,640.69 is: 1,138,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,320.56 : 549,640.69 = 549,640.69 : x
  2. Step 2: Convert to fraction form
    265,320.56/549,640.69 = 549,640.69/x
  3. Step 3: Cross multiply
    265,320.56x = 549,640.69 × 549,640.69
  4. Step 4: Simplify right side
    265,320.56x = 302,104,885,355.47
  5. Step 5: Solve for x
    x = 302,104,885,355.47/265,320.56
  6. Step 6: Final answer
    x = 1,138,641.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.