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Finding the Third Proportional to 334,095 and 719,889

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Solution

The third proportional to 334,095 and 719,889 is: 1,551,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,095 : 719,889 = 719,889 : x
  2. Step 2: Convert to fraction form
    334,095/719,889 = 719,889/x
  3. Step 3: Cross multiply
    334,095x = 719,889 × 719,889
  4. Step 4: Simplify right side
    334,095x = 518,240,172,321
  5. Step 5: Solve for x
    x = 518,240,172,321/334,095
  6. Step 6: Final answer
    x = 1,551,176.08

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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.