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Finding the Third Proportional to 340,354 and 727,044

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Solution

The third proportional to 340,354 and 727,044 is: 1,553,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,354 : 727,044 = 727,044 : x
  2. Step 2: Convert to fraction form
    340,354/727,044 = 727,044/x
  3. Step 3: Cross multiply
    340,354x = 727,044 × 727,044
  4. Step 4: Simplify right side
    340,354x = 528,592,977,936
  5. Step 5: Solve for x
    x = 528,592,977,936/340,354
  6. Step 6: Final answer
    x = 1,553,068.21

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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.