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Finding the Third Proportional to 346,370 and 719,956

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Solution

The third proportional to 346,370 and 719,956 is: 1,496,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,370 : 719,956 = 719,956 : x
  2. Step 2: Convert to fraction form
    346,370/719,956 = 719,956/x
  3. Step 3: Cross multiply
    346,370x = 719,956 × 719,956
  4. Step 4: Simplify right side
    346,370x = 518,336,641,936
  5. Step 5: Solve for x
    x = 518,336,641,936/346,370
  6. Step 6: Final answer
    x = 1,496,482.50

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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.