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Finding the Third Proportional to 435,658.50 and 701,853.75

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Solution

The third proportional to 435,658.50 and 701,853.75 is: 1,130,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,658.50 : 701,853.75 = 701,853.75 : x
  2. Step 2: Convert to fraction form
    435,658.50/701,853.75 = 701,853.75/x
  3. Step 3: Cross multiply
    435,658.50x = 701,853.75 × 701,853.75
  4. Step 4: Simplify right side
    435,658.50x = 492,598,686,389.06
  5. Step 5: Solve for x
    x = 492,598,686,389.06/435,658.50
  6. Step 6: Final answer
    x = 1,130,699.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.