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Finding the Third Proportional to 346,358 and 719,932

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Solution

The third proportional to 346,358 and 719,932 is: 1,496,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,358 : 719,932 = 719,932 : x
  2. Step 2: Convert to fraction form
    346,358/719,932 = 719,932/x
  3. Step 3: Cross multiply
    346,358x = 719,932 × 719,932
  4. Step 4: Simplify right side
    346,358x = 518,302,084,624
  5. Step 5: Solve for x
    x = 518,302,084,624/346,358
  6. Step 6: Final answer
    x = 1,496,434.57

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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.