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Finding the Third Proportional to 328,140.75 and 707,493.75

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Solution

The third proportional to 328,140.75 and 707,493.75 is: 1,525,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,140.75 : 707,493.75 = 707,493.75 : x
  2. Step 2: Convert to fraction form
    328,140.75/707,493.75 = 707,493.75/x
  3. Step 3: Cross multiply
    328,140.75x = 707,493.75 × 707,493.75
  4. Step 4: Simplify right side
    328,140.75x = 500,547,406,289.06
  5. Step 5: Solve for x
    x = 500,547,406,289.06/328,140.75
  6. Step 6: Final answer
    x = 1,525,404.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.