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Finding the Third Proportional to 424,045 and 655,752

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Solution

The third proportional to 424,045 and 655,752 is: 1,014,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,045 : 655,752 = 655,752 : x
  2. Step 2: Convert to fraction form
    424,045/655,752 = 655,752/x
  3. Step 3: Cross multiply
    424,045x = 655,752 × 655,752
  4. Step 4: Simplify right side
    424,045x = 430,010,685,504
  5. Step 5: Solve for x
    x = 430,010,685,504/424,045
  6. Step 6: Final answer
    x = 1,014,068.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.