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Finding the Third Proportional to 249,219 and 531,063

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Solution

The third proportional to 249,219 and 531,063 is: 1,131,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,219 : 531,063 = 531,063 : x
  2. Step 2: Convert to fraction form
    249,219/531,063 = 531,063/x
  3. Step 3: Cross multiply
    249,219x = 531,063 × 531,063
  4. Step 4: Simplify right side
    249,219x = 282,027,909,969
  5. Step 5: Solve for x
    x = 282,027,909,969/249,219
  6. Step 6: Final answer
    x = 1,131,646.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.