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Finding the Third Proportional to 595,318 and 898,511

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Solution

The third proportional to 595,318 and 898,511 is: 1,356,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,318 : 898,511 = 898,511 : x
  2. Step 2: Convert to fraction form
    595,318/898,511 = 898,511/x
  3. Step 3: Cross multiply
    595,318x = 898,511 × 898,511
  4. Step 4: Simplify right side
    595,318x = 807,322,017,121
  5. Step 5: Solve for x
    x = 807,322,017,121/595,318
  6. Step 6: Final answer
    x = 1,356,118.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.