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Finding the Third Proportional to 333,988 and 716,552

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Solution

The third proportional to 333,988 and 716,552 is: 1,537,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,988 : 716,552 = 716,552 : x
  2. Step 2: Convert to fraction form
    333,988/716,552 = 716,552/x
  3. Step 3: Cross multiply
    333,988x = 716,552 × 716,552
  4. Step 4: Simplify right side
    333,988x = 513,446,768,704
  5. Step 5: Solve for x
    x = 513,446,768,704/333,988
  6. Step 6: Final answer
    x = 1,537,321.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.