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Finding the Third Proportional to 474,752 and 634,160

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Solution

The third proportional to 474,752 and 634,160 is: 847,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,752 : 634,160 = 634,160 : x
  2. Step 2: Convert to fraction form
    474,752/634,160 = 634,160/x
  3. Step 3: Cross multiply
    474,752x = 634,160 × 634,160
  4. Step 4: Simplify right side
    474,752x = 402,158,905,600
  5. Step 5: Solve for x
    x = 402,158,905,600/474,752
  6. Step 6: Final answer
    x = 847,092.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.