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Finding the Third Proportional to 358,774 and 562,875

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Solution

The third proportional to 358,774 and 562,875 is: 883,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,774 : 562,875 = 562,875 : x
  2. Step 2: Convert to fraction form
    358,774/562,875 = 562,875/x
  3. Step 3: Cross multiply
    358,774x = 562,875 × 562,875
  4. Step 4: Simplify right side
    358,774x = 316,828,265,625
  5. Step 5: Solve for x
    x = 316,828,265,625/358,774
  6. Step 6: Final answer
    x = 883,085.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.