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Finding the Third Proportional to 249,945 and 539,814

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Solution

The third proportional to 249,945 and 539,814 is: 1,165,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,945 : 539,814 = 539,814 : x
  2. Step 2: Convert to fraction form
    249,945/539,814 = 539,814/x
  3. Step 3: Cross multiply
    249,945x = 539,814 × 539,814
  4. Step 4: Simplify right side
    249,945x = 291,399,154,596
  5. Step 5: Solve for x
    x = 291,399,154,596/249,945
  6. Step 6: Final answer
    x = 1,165,853.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.