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Finding the Third Proportional to 336,004.50 and 725,442

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Solution

The third proportional to 336,004.50 and 725,442 is: 1,566,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,004.50 : 725,442 = 725,442 : x
  2. Step 2: Convert to fraction form
    336,004.50/725,442 = 725,442/x
  3. Step 3: Cross multiply
    336,004.50x = 725,442 × 725,442
  4. Step 4: Simplify right side
    336,004.50x = 526,266,095,364
  5. Step 5: Solve for x
    x = 526,266,095,364/336,004.50
  6. Step 6: Final answer
    x = 1,566,247.16

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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.