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Finding the Third Proportional to 245,684 and 360,468

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Solution

The third proportional to 245,684 and 360,468 is: 528,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,684 : 360,468 = 360,468 : x
  2. Step 2: Convert to fraction form
    245,684/360,468 = 360,468/x
  3. Step 3: Cross multiply
    245,684x = 360,468 × 360,468
  4. Step 4: Simplify right side
    245,684x = 129,937,179,024
  5. Step 5: Solve for x
    x = 129,937,179,024/245,684
  6. Step 6: Final answer
    x = 528,879.29

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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.