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Finding the Third Proportional to 353,368 and 562,832

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Solution

The third proportional to 353,368 and 562,832 is: 896,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,368 : 562,832 = 562,832 : x
  2. Step 2: Convert to fraction form
    353,368/562,832 = 562,832/x
  3. Step 3: Cross multiply
    353,368x = 562,832 × 562,832
  4. Step 4: Simplify right side
    353,368x = 316,779,860,224
  5. Step 5: Solve for x
    x = 316,779,860,224/353,368
  6. Step 6: Final answer
    x = 896,458.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.