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Finding the Third Proportional to 245,254.50 and 525,457.13

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Solution

The third proportional to 245,254.50 and 525,457.13 is: 1,125,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,254.50 : 525,457.13 = 525,457.13 : x
  2. Step 2: Convert to fraction form
    245,254.50/525,457.13 = 525,457.13/x
  3. Step 3: Cross multiply
    245,254.50x = 525,457.13 × 525,457.13
  4. Step 4: Simplify right side
    245,254.50x = 276,105,190,213.27
  5. Step 5: Solve for x
    x = 276,105,190,213.27/245,254.50
  6. Step 6: Final answer
    x = 1,125,790.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.