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Finding the Third Proportional to 321,018.19 and 695,534.34

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Solution

The third proportional to 321,018.19 and 695,534.34 is: 1,506,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,018.19 : 695,534.34 = 695,534.34 : x
  2. Step 2: Convert to fraction form
    321,018.19/695,534.34 = 695,534.34/x
  3. Step 3: Cross multiply
    321,018.19x = 695,534.34 × 695,534.34
  4. Step 4: Simplify right side
    321,018.19x = 483,768,023,335.74
  5. Step 5: Solve for x
    x = 483,768,023,335.74/321,018.19
  6. Step 6: Final answer
    x = 1,506,980.11

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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.