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Finding the Third Proportional to 249,382 and 538,130

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Solution

The third proportional to 249,382 and 538,130 is: 1,161,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,382 : 538,130 = 538,130 : x
  2. Step 2: Convert to fraction form
    249,382/538,130 = 538,130/x
  3. Step 3: Cross multiply
    249,382x = 538,130 × 538,130
  4. Step 4: Simplify right side
    249,382x = 289,583,896,900
  5. Step 5: Solve for x
    x = 289,583,896,900/249,382
  6. Step 6: Final answer
    x = 1,161,206.09

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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.