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Finding the Third Proportional to 716,448 and 973,518

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Solution

The third proportional to 716,448 and 973,518 is: 1,322,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,448 : 973,518 = 973,518 : x
  2. Step 2: Convert to fraction form
    716,448/973,518 = 973,518/x
  3. Step 3: Cross multiply
    716,448x = 973,518 × 973,518
  4. Step 4: Simplify right side
    716,448x = 947,737,296,324
  5. Step 5: Solve for x
    x = 947,737,296,324/716,448
  6. Step 6: Final answer
    x = 1,322,827.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.