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Finding the Third Proportional to 249,664 and 520,060

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Solution

The third proportional to 249,664 and 520,060 is: 1,083,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,664 : 520,060 = 520,060 : x
  2. Step 2: Convert to fraction form
    249,664/520,060 = 520,060/x
  3. Step 3: Cross multiply
    249,664x = 520,060 × 520,060
  4. Step 4: Simplify right side
    249,664x = 270,462,403,600
  5. Step 5: Solve for x
    x = 270,462,403,600/249,664
  6. Step 6: Final answer
    x = 1,083,305.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.