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Finding the Third Proportional to 346,312 and 541,338

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Solution

The third proportional to 346,312 and 541,338 is: 846,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,312 : 541,338 = 541,338 : x
  2. Step 2: Convert to fraction form
    346,312/541,338 = 541,338/x
  3. Step 3: Cross multiply
    346,312x = 541,338 × 541,338
  4. Step 4: Simplify right side
    346,312x = 293,046,830,244
  5. Step 5: Solve for x
    x = 293,046,830,244/346,312
  6. Step 6: Final answer
    x = 846,193.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.