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Finding the Third Proportional to 249,219 and 533,875.50

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Solution

The third proportional to 249,219 and 533,875.50 is: 1,143,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,219 : 533,875.50 = 533,875.50 : x
  2. Step 2: Convert to fraction form
    249,219/533,875.50 = 533,875.50/x
  3. Step 3: Cross multiply
    249,219x = 533,875.50 × 533,875.50
  4. Step 4: Simplify right side
    249,219x = 285,023,049,500.25
  5. Step 5: Solve for x
    x = 285,023,049,500.25/249,219
  6. Step 6: Final answer
    x = 1,143,665.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.