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Finding the Third Proportional to 346,184.88 and 719,889.38

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Solution

The third proportional to 346,184.88 and 719,889.38 is: 1,497,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,184.88 : 719,889.38 = 719,889.38 : x
  2. Step 2: Convert to fraction form
    346,184.88/719,889.38 = 719,889.38/x
  3. Step 3: Cross multiply
    346,184.88x = 719,889.38 × 719,889.38
  4. Step 4: Simplify right side
    346,184.88x = 518,240,712,237.89
  5. Step 5: Solve for x
    x = 518,240,712,237.89/346,184.88
  6. Step 6: Final answer
    x = 1,497,005.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.