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Finding the Third Proportional to 334,154 and 788,545

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Solution

The third proportional to 334,154 and 788,545 is: 1,860,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,154 : 788,545 = 788,545 : x
  2. Step 2: Convert to fraction form
    334,154/788,545 = 788,545/x
  3. Step 3: Cross multiply
    334,154x = 788,545 × 788,545
  4. Step 4: Simplify right side
    334,154x = 621,803,217,025
  5. Step 5: Solve for x
    x = 621,803,217,025/334,154
  6. Step 6: Final answer
    x = 1,860,828.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.