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Finding the Third Proportional to 673,506 and 1,017,255.38

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Solution

The third proportional to 673,506 and 1,017,255.38 is: 1,536,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,506 : 1,017,255.38 = 1,017,255.38 : x
  2. Step 2: Convert to fraction form
    673,506/1,017,255.38 = 1,017,255.38/x
  3. Step 3: Cross multiply
    673,506x = 1,017,255.38 × 1,017,255.38
  4. Step 4: Simplify right side
    673,506x = 1,034,808,497,966.39
  5. Step 5: Solve for x
    x = 1,034,808,497,966.39/673,506
  6. Step 6: Final answer
    x = 1,536,450.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.