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Finding the Third Proportional to 372,346 and 575,368

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Solution

The third proportional to 372,346 and 575,368 is: 889,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,346 : 575,368 = 575,368 : x
  2. Step 2: Convert to fraction form
    372,346/575,368 = 575,368/x
  3. Step 3: Cross multiply
    372,346x = 575,368 × 575,368
  4. Step 4: Simplify right side
    372,346x = 331,048,335,424
  5. Step 5: Solve for x
    x = 331,048,335,424/372,346
  6. Step 6: Final answer
    x = 889,087.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.