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Finding the Third Proportional to 454,345 and 712,774

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Solution

The third proportional to 454,345 and 712,774 is: 1,118,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,345 : 712,774 = 712,774 : x
  2. Step 2: Convert to fraction form
    454,345/712,774 = 712,774/x
  3. Step 3: Cross multiply
    454,345x = 712,774 × 712,774
  4. Step 4: Simplify right side
    454,345x = 508,046,775,076
  5. Step 5: Solve for x
    x = 508,046,775,076/454,345
  6. Step 6: Final answer
    x = 1,118,196.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.