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Finding the Third Proportional to 346,196 and 719,910

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Solution

The third proportional to 346,196 and 719,910 is: 1,497,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,196 : 719,910 = 719,910 : x
  2. Step 2: Convert to fraction form
    346,196/719,910 = 719,910/x
  3. Step 3: Cross multiply
    346,196x = 719,910 × 719,910
  4. Step 4: Simplify right side
    346,196x = 518,270,408,100
  5. Step 5: Solve for x
    x = 518,270,408,100/346,196
  6. Step 6: Final answer
    x = 1,497,043.32

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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.