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Finding the Third Proportional to 345,411 and 526,473

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Solution

The third proportional to 345,411 and 526,473 is: 802,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,411 : 526,473 = 526,473 : x
  2. Step 2: Convert to fraction form
    345,411/526,473 = 526,473/x
  3. Step 3: Cross multiply
    345,411x = 526,473 × 526,473
  4. Step 4: Simplify right side
    345,411x = 277,173,819,729
  5. Step 5: Solve for x
    x = 277,173,819,729/345,411
  6. Step 6: Final answer
    x = 802,446.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.