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Finding the Third Proportional to 375,051 and 562,617

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Solution

The third proportional to 375,051 and 562,617 is: 843,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,051 : 562,617 = 562,617 : x
  2. Step 2: Convert to fraction form
    375,051/562,617 = 562,617/x
  3. Step 3: Cross multiply
    375,051x = 562,617 × 562,617
  4. Step 4: Simplify right side
    375,051x = 316,537,888,689
  5. Step 5: Solve for x
    x = 316,537,888,689/375,051
  6. Step 6: Final answer
    x = 843,986.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.