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Finding the Third Proportional to 338,666 and 723,988

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Solution

The third proportional to 338,666 and 723,988 is: 1,547,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,666 : 723,988 = 723,988 : x
  2. Step 2: Convert to fraction form
    338,666/723,988 = 723,988/x
  3. Step 3: Cross multiply
    338,666x = 723,988 × 723,988
  4. Step 4: Simplify right side
    338,666x = 524,158,624,144
  5. Step 5: Solve for x
    x = 524,158,624,144/338,666
  6. Step 6: Final answer
    x = 1,547,715.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.