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Finding the Third Proportional to 369,995 and 553,509

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Solution

The third proportional to 369,995 and 553,509 is: 828,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,995 : 553,509 = 553,509 : x
  2. Step 2: Convert to fraction form
    369,995/553,509 = 553,509/x
  3. Step 3: Cross multiply
    369,995x = 553,509 × 553,509
  4. Step 4: Simplify right side
    369,995x = 306,372,213,081
  5. Step 5: Solve for x
    x = 306,372,213,081/369,995
  6. Step 6: Final answer
    x = 828,044.20

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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.