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Finding the Third Proportional to 341,054 and 717,460

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Solution

The third proportional to 341,054 and 717,460 is: 1,509,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,054 : 717,460 = 717,460 : x
  2. Step 2: Convert to fraction form
    341,054/717,460 = 717,460/x
  3. Step 3: Cross multiply
    341,054x = 717,460 × 717,460
  4. Step 4: Simplify right side
    341,054x = 514,748,851,600
  5. Step 5: Solve for x
    x = 514,748,851,600/341,054
  6. Step 6: Final answer
    x = 1,509,288.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.