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Finding the Third Proportional to 319,237.13 and 476,087.06

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Solution

The third proportional to 319,237.13 and 476,087.06 is: 710,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,237.13 : 476,087.06 = 476,087.06 : x
  2. Step 2: Convert to fraction form
    319,237.13/476,087.06 = 476,087.06/x
  3. Step 3: Cross multiply
    319,237.13x = 476,087.06 × 476,087.06
  4. Step 4: Simplify right side
    319,237.13x = 226,658,891,079.88
  5. Step 5: Solve for x
    x = 226,658,891,079.88/319,237.13
  6. Step 6: Final answer
    x = 710,001.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.