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Finding the Third Proportional to 607,276 and 907,567

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Solution

The third proportional to 607,276 and 907,567 is: 1,356,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,276 : 907,567 = 907,567 : x
  2. Step 2: Convert to fraction form
    607,276/907,567 = 907,567/x
  3. Step 3: Cross multiply
    607,276x = 907,567 × 907,567
  4. Step 4: Simplify right side
    607,276x = 823,677,859,489
  5. Step 5: Solve for x
    x = 823,677,859,489/607,276
  6. Step 6: Final answer
    x = 1,356,348.45

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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.