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Finding the Third Proportional to 245,414.81 and 360,042.47

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Solution

The third proportional to 245,414.81 and 360,042.47 is: 528,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,414.81 : 360,042.47 = 360,042.47 : x
  2. Step 2: Convert to fraction form
    245,414.81/360,042.47 = 360,042.47/x
  3. Step 3: Cross multiply
    245,414.81x = 360,042.47 × 360,042.47
  4. Step 4: Simplify right side
    245,414.81x = 129,630,579,303.60
  5. Step 5: Solve for x
    x = 129,630,579,303.60/245,414.81
  6. Step 6: Final answer
    x = 528,210.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.