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Finding the Third Proportional to 427,752 and 626,076

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Solution

The third proportional to 427,752 and 626,076 is: 916,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,752 : 626,076 = 626,076 : x
  2. Step 2: Convert to fraction form
    427,752/626,076 = 626,076/x
  3. Step 3: Cross multiply
    427,752x = 626,076 × 626,076
  4. Step 4: Simplify right side
    427,752x = 391,971,157,776
  5. Step 5: Solve for x
    x = 391,971,157,776/427,752
  6. Step 6: Final answer
    x = 916,351.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.