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Finding the Third Proportional to 450,465 and 606,745

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Solution

The third proportional to 450,465 and 606,745 is: 817,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,465 : 606,745 = 606,745 : x
  2. Step 2: Convert to fraction form
    450,465/606,745 = 606,745/x
  3. Step 3: Cross multiply
    450,465x = 606,745 × 606,745
  4. Step 4: Simplify right side
    450,465x = 368,139,495,025
  5. Step 5: Solve for x
    x = 368,139,495,025/450,465
  6. Step 6: Final answer
    x = 817,243.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.