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Finding the Third Proportional to 480,234 and 695,556

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Solution

The third proportional to 480,234 and 695,556 is: 1,007,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,234 : 695,556 = 695,556 : x
  2. Step 2: Convert to fraction form
    480,234/695,556 = 695,556/x
  3. Step 3: Cross multiply
    480,234x = 695,556 × 695,556
  4. Step 4: Simplify right side
    480,234x = 483,798,149,136
  5. Step 5: Solve for x
    x = 483,798,149,136/480,234
  6. Step 6: Final answer
    x = 1,007,421.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.