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Finding the Third Proportional to 450,463 and 606,742.50

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Solution

The third proportional to 450,463 and 606,742.50 is: 817,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,463 : 606,742.50 = 606,742.50 : x
  2. Step 2: Convert to fraction form
    450,463/606,742.50 = 606,742.50/x
  3. Step 3: Cross multiply
    450,463x = 606,742.50 × 606,742.50
  4. Step 4: Simplify right side
    450,463x = 368,136,461,306.25
  5. Step 5: Solve for x
    x = 368,136,461,306.25/450,463
  6. Step 6: Final answer
    x = 817,240.18

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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.