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Finding the Third Proportional to 289,348 and 626,810

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Solution

The third proportional to 289,348 and 626,810 is: 1,357,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,348 : 626,810 = 626,810 : x
  2. Step 2: Convert to fraction form
    289,348/626,810 = 626,810/x
  3. Step 3: Cross multiply
    289,348x = 626,810 × 626,810
  4. Step 4: Simplify right side
    289,348x = 392,890,776,100
  5. Step 5: Solve for x
    x = 392,890,776,100/289,348
  6. Step 6: Final answer
    x = 1,357,848.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.