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Finding the Third Proportional to 595,168 and 832,448

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Solution

The third proportional to 595,168 and 832,448 is: 1,164,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,168 : 832,448 = 832,448 : x
  2. Step 2: Convert to fraction form
    595,168/832,448 = 832,448/x
  3. Step 3: Cross multiply
    595,168x = 832,448 × 832,448
  4. Step 4: Simplify right side
    595,168x = 692,969,672,704
  5. Step 5: Solve for x
    x = 692,969,672,704/595,168
  6. Step 6: Final answer
    x = 1,164,326.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.