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Finding the Third Proportional to 607,275 and 907,566

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Solution

The third proportional to 607,275 and 907,566 is: 1,356,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,275 : 907,566 = 907,566 : x
  2. Step 2: Convert to fraction form
    607,275/907,566 = 907,566/x
  3. Step 3: Cross multiply
    607,275x = 907,566 × 907,566
  4. Step 4: Simplify right side
    607,275x = 823,676,044,356
  5. Step 5: Solve for x
    x = 823,676,044,356/607,275
  6. Step 6: Final answer
    x = 1,356,347.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.