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Finding the Third Proportional to 333,488 and 730,534

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Solution

The third proportional to 333,488 and 730,534 is: 1,600,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,488 : 730,534 = 730,534 : x
  2. Step 2: Convert to fraction form
    333,488/730,534 = 730,534/x
  3. Step 3: Cross multiply
    333,488x = 730,534 × 730,534
  4. Step 4: Simplify right side
    333,488x = 533,679,925,156
  5. Step 5: Solve for x
    x = 533,679,925,156/333,488
  6. Step 6: Final answer
    x = 1,600,297.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.