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Finding the Third Proportional to 369,224 and 553,222

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Solution

The third proportional to 369,224 and 553,222 is: 828,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,224 : 553,222 = 553,222 : x
  2. Step 2: Convert to fraction form
    369,224/553,222 = 553,222/x
  3. Step 3: Cross multiply
    369,224x = 553,222 × 553,222
  4. Step 4: Simplify right side
    369,224x = 306,054,581,284
  5. Step 5: Solve for x
    x = 306,054,581,284/369,224
  6. Step 6: Final answer
    x = 828,913.02

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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.