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Finding the Third Proportional to 607,251 and 907,532

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Solution

The third proportional to 607,251 and 907,532 is: 1,356,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,251 : 907,532 = 907,532 : x
  2. Step 2: Convert to fraction form
    607,251/907,532 = 907,532/x
  3. Step 3: Cross multiply
    607,251x = 907,532 × 907,532
  4. Step 4: Simplify right side
    607,251x = 823,614,331,024
  5. Step 5: Solve for x
    x = 823,614,331,024/607,251
  6. Step 6: Final answer
    x = 1,356,299.67

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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.