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Finding the Third Proportional to 334,352 and 651,960

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Solution

The third proportional to 334,352 and 651,960 is: 1,271,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,352 : 651,960 = 651,960 : x
  2. Step 2: Convert to fraction form
    334,352/651,960 = 651,960/x
  3. Step 3: Cross multiply
    334,352x = 651,960 × 651,960
  4. Step 4: Simplify right side
    334,352x = 425,051,841,600
  5. Step 5: Solve for x
    x = 425,051,841,600/334,352
  6. Step 6: Final answer
    x = 1,271,270.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.