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Finding the Third Proportional to 245,849.63 and 379,693.13

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Solution

The third proportional to 245,849.63 and 379,693.13 is: 586,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,849.63 : 379,693.13 = 379,693.13 : x
  2. Step 2: Convert to fraction form
    245,849.63/379,693.13 = 379,693.13/x
  3. Step 3: Cross multiply
    245,849.63x = 379,693.13 × 379,693.13
  4. Step 4: Simplify right side
    245,849.63x = 144,166,869,172.27
  5. Step 5: Solve for x
    x = 144,166,869,172.27/245,849.63
  6. Step 6: Final answer
    x = 586,402.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.