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Finding the Third Proportional to 346,194 and 719,905

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Solution

The third proportional to 346,194 and 719,905 is: 1,497,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,194 : 719,905 = 719,905 : x
  2. Step 2: Convert to fraction form
    346,194/719,905 = 719,905/x
  3. Step 3: Cross multiply
    346,194x = 719,905 × 719,905
  4. Step 4: Simplify right side
    346,194x = 518,263,209,025
  5. Step 5: Solve for x
    x = 518,263,209,025/346,194
  6. Step 6: Final answer
    x = 1,497,031.17

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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.