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Finding the Third Proportional to 296,076 and 634,456

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Solution

The third proportional to 296,076 and 634,456 is: 1,359,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,076 : 634,456 = 634,456 : x
  2. Step 2: Convert to fraction form
    296,076/634,456 = 634,456/x
  3. Step 3: Cross multiply
    296,076x = 634,456 × 634,456
  4. Step 4: Simplify right side
    296,076x = 402,534,415,936
  5. Step 5: Solve for x
    x = 402,534,415,936/296,076
  6. Step 6: Final answer
    x = 1,359,564.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.