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Finding the Third Proportional to 403,714 and 597,752

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Solution

The third proportional to 403,714 and 597,752 is: 885,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,714 : 597,752 = 597,752 : x
  2. Step 2: Convert to fraction form
    403,714/597,752 = 597,752/x
  3. Step 3: Cross multiply
    403,714x = 597,752 × 597,752
  4. Step 4: Simplify right side
    403,714x = 357,307,453,504
  5. Step 5: Solve for x
    x = 357,307,453,504/403,714
  6. Step 6: Final answer
    x = 885,050.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.