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Finding the Third Proportional to 375,024 and 595,750.50

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Solution

The third proportional to 375,024 and 595,750.50 is: 946,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,024 : 595,750.50 = 595,750.50 : x
  2. Step 2: Convert to fraction form
    375,024/595,750.50 = 595,750.50/x
  3. Step 3: Cross multiply
    375,024x = 595,750.50 × 595,750.50
  4. Step 4: Simplify right side
    375,024x = 354,918,658,250.25
  5. Step 5: Solve for x
    x = 354,918,658,250.25/375,024
  6. Step 6: Final answer
    x = 946,389.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.