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Finding the Third Proportional to 249,205.50 and 531,032.50

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Solution

The third proportional to 249,205.50 and 531,032.50 is: 1,131,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,205.50 : 531,032.50 = 531,032.50 : x
  2. Step 2: Convert to fraction form
    249,205.50/531,032.50 = 531,032.50/x
  3. Step 3: Cross multiply
    249,205.50x = 531,032.50 × 531,032.50
  4. Step 4: Simplify right side
    249,205.50x = 281,995,516,056.25
  5. Step 5: Solve for x
    x = 281,995,516,056.25/249,205.50
  6. Step 6: Final answer
    x = 1,131,578.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.