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Finding the Third Proportional to 316,416 and 695,056

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Solution

The third proportional to 316,416 and 695,056 is: 1,526,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,416 : 695,056 = 695,056 : x
  2. Step 2: Convert to fraction form
    316,416/695,056 = 695,056/x
  3. Step 3: Cross multiply
    316,416x = 695,056 × 695,056
  4. Step 4: Simplify right side
    316,416x = 483,102,843,136
  5. Step 5: Solve for x
    x = 483,102,843,136/316,416
  6. Step 6: Final answer
    x = 1,526,796.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.