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Finding the Third Proportional to 249,240 and 543,592.50

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Solution

The third proportional to 249,240 and 543,592.50 is: 1,185,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,240 : 543,592.50 = 543,592.50 : x
  2. Step 2: Convert to fraction form
    249,240/543,592.50 = 543,592.50/x
  3. Step 3: Cross multiply
    249,240x = 543,592.50 × 543,592.50
  4. Step 4: Simplify right side
    249,240x = 295,492,806,056.25
  5. Step 5: Solve for x
    x = 295,492,806,056.25/249,240
  6. Step 6: Final answer
    x = 1,185,575.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.