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Finding the Third Proportional to 320,924 and 695,361

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Solution

The third proportional to 320,924 and 695,361 is: 1,506,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,924 : 695,361 = 695,361 : x
  2. Step 2: Convert to fraction form
    320,924/695,361 = 695,361/x
  3. Step 3: Cross multiply
    320,924x = 695,361 × 695,361
  4. Step 4: Simplify right side
    320,924x = 483,526,920,321
  5. Step 5: Solve for x
    x = 483,526,920,321/320,924
  6. Step 6: Final answer
    x = 1,506,671.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.