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Finding the Third Proportional to 607,377 and 906,133.50

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Solution

The third proportional to 607,377 and 906,133.50 is: 1,351,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,377 : 906,133.50 = 906,133.50 : x
  2. Step 2: Convert to fraction form
    607,377/906,133.50 = 906,133.50/x
  3. Step 3: Cross multiply
    607,377x = 906,133.50 × 906,133.50
  4. Step 4: Simplify right side
    607,377x = 821,077,919,822.25
  5. Step 5: Solve for x
    x = 821,077,919,822.25/607,377
  6. Step 6: Final answer
    x = 1,351,842.30

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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.