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Finding the Third Proportional to 463,725 and 705,307.50

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Solution

The third proportional to 463,725 and 705,307.50 is: 1,072,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,725 : 705,307.50 = 705,307.50 : x
  2. Step 2: Convert to fraction form
    463,725/705,307.50 = 705,307.50/x
  3. Step 3: Cross multiply
    463,725x = 705,307.50 × 705,307.50
  4. Step 4: Simplify right side
    463,725x = 497,458,669,556.25
  5. Step 5: Solve for x
    x = 497,458,669,556.25/463,725
  6. Step 6: Final answer
    x = 1,072,744.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.