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Finding the Third Proportional to 314,020 and 654,604

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Solution

The third proportional to 314,020 and 654,604 is: 1,364,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,020 : 654,604 = 654,604 : x
  2. Step 2: Convert to fraction form
    314,020/654,604 = 654,604/x
  3. Step 3: Cross multiply
    314,020x = 654,604 × 654,604
  4. Step 4: Simplify right side
    314,020x = 428,506,396,816
  5. Step 5: Solve for x
    x = 428,506,396,816/314,020
  6. Step 6: Final answer
    x = 1,364,583.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.