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Finding the Third Proportional to 291,528 and 628,992

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Solution

The third proportional to 291,528 and 628,992 is: 1,357,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,528 : 628,992 = 628,992 : x
  2. Step 2: Convert to fraction form
    291,528/628,992 = 628,992/x
  3. Step 3: Cross multiply
    291,528x = 628,992 × 628,992
  4. Step 4: Simplify right side
    291,528x = 395,630,936,064
  5. Step 5: Solve for x
    x = 395,630,936,064/291,528
  6. Step 6: Final answer
    x = 1,357,094.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.