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Finding the Third Proportional to 249,324 and 536,664

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Solution

The third proportional to 249,324 and 536,664 is: 1,155,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,324 : 536,664 = 536,664 : x
  2. Step 2: Convert to fraction form
    249,324/536,664 = 536,664/x
  3. Step 3: Cross multiply
    249,324x = 536,664 × 536,664
  4. Step 4: Simplify right side
    249,324x = 288,008,248,896
  5. Step 5: Solve for x
    x = 288,008,248,896/249,324
  6. Step 6: Final answer
    x = 1,155,156.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.