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Finding the Third Proportional to 265,486.99 and 420,595.98

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Solution

The third proportional to 265,486.99 and 420,595.98 is: 666,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,486.99 : 420,595.98 = 420,595.98 : x
  2. Step 2: Convert to fraction form
    265,486.99/420,595.98 = 420,595.98/x
  3. Step 3: Cross multiply
    265,486.99x = 420,595.98 × 420,595.98
  4. Step 4: Simplify right side
    265,486.99x = 176,900,978,786.47
  5. Step 5: Solve for x
    x = 176,900,978,786.47/265,486.99
  6. Step 6: Final answer
    x = 666,326.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.