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Finding the Third Proportional to 607,282 and 907,577

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Solution

The third proportional to 607,282 and 907,577 is: 1,356,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,282 : 907,577 = 907,577 : x
  2. Step 2: Convert to fraction form
    607,282/907,577 = 907,577/x
  3. Step 3: Cross multiply
    607,282x = 907,577 × 907,577
  4. Step 4: Simplify right side
    607,282x = 823,696,010,929
  5. Step 5: Solve for x
    x = 823,696,010,929/607,282
  6. Step 6: Final answer
    x = 1,356,364.94

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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.