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Finding the Third Proportional to 292,896 and 634,635

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Solution

The third proportional to 292,896 and 634,635 is: 1,375,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,896 : 634,635 = 634,635 : x
  2. Step 2: Convert to fraction form
    292,896/634,635 = 634,635/x
  3. Step 3: Cross multiply
    292,896x = 634,635 × 634,635
  4. Step 4: Simplify right side
    292,896x = 402,761,583,225
  5. Step 5: Solve for x
    x = 402,761,583,225/292,896
  6. Step 6: Final answer
    x = 1,375,101.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.