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Finding the Third Proportional to 264,768 and 370,368

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Solution

The third proportional to 264,768 and 370,368 is: 518,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,768 : 370,368 = 370,368 : x
  2. Step 2: Convert to fraction form
    264,768/370,368 = 370,368/x
  3. Step 3: Cross multiply
    264,768x = 370,368 × 370,368
  4. Step 4: Simplify right side
    264,768x = 137,172,455,424
  5. Step 5: Solve for x
    x = 137,172,455,424/264,768
  6. Step 6: Final answer
    x = 518,085.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.