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Finding the Third Proportional to 275,653.13 and 562,970.25

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Solution

The third proportional to 275,653.13 and 562,970.25 is: 1,149,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,653.13 : 562,970.25 = 562,970.25 : x
  2. Step 2: Convert to fraction form
    275,653.13/562,970.25 = 562,970.25/x
  3. Step 3: Cross multiply
    275,653.13x = 562,970.25 × 562,970.25
  4. Step 4: Simplify right side
    275,653.13x = 316,935,502,385.06
  5. Step 5: Solve for x
    x = 316,935,502,385.06/275,653.13
  6. Step 6: Final answer
    x = 1,149,762.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.