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Finding the Third Proportional to 249,243 and 543,598.50

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Solution

The third proportional to 249,243 and 543,598.50 is: 1,185,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,243 : 543,598.50 = 543,598.50 : x
  2. Step 2: Convert to fraction form
    249,243/543,598.50 = 543,598.50/x
  3. Step 3: Cross multiply
    249,243x = 543,598.50 × 543,598.50
  4. Step 4: Simplify right side
    249,243x = 295,499,329,202.25
  5. Step 5: Solve for x
    x = 295,499,329,202.25/249,243
  6. Step 6: Final answer
    x = 1,185,587.28

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