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Finding the Third Proportional to 369,997 and 553,506

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Solution

The third proportional to 369,997 and 553,506 is: 828,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,997 : 553,506 = 553,506 : x
  2. Step 2: Convert to fraction form
    369,997/553,506 = 553,506/x
  3. Step 3: Cross multiply
    369,997x = 553,506 × 553,506
  4. Step 4: Simplify right side
    369,997x = 306,368,892,036
  5. Step 5: Solve for x
    x = 306,368,892,036/369,997
  6. Step 6: Final answer
    x = 828,030.75

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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.