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Finding the Third Proportional to 249,633.56 and 405,572.06

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Solution

The third proportional to 249,633.56 and 405,572.06 is: 658,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,633.56 : 405,572.06 = 405,572.06 : x
  2. Step 2: Convert to fraction form
    249,633.56/405,572.06 = 405,572.06/x
  3. Step 3: Cross multiply
    249,633.56x = 405,572.06 × 405,572.06
  4. Step 4: Simplify right side
    249,633.56x = 164,488,697,880.50
  5. Step 5: Solve for x
    x = 164,488,697,880.50/249,633.56
  6. Step 6: Final answer
    x = 658,920.60

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.