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Finding the Third Proportional to 334,677 and 509,860.13

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Solution

The third proportional to 334,677 and 509,860.13 is: 776,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,677 : 509,860.13 = 509,860.13 : x
  2. Step 2: Convert to fraction form
    334,677/509,860.13 = 509,860.13/x
  3. Step 3: Cross multiply
    334,677x = 509,860.13 × 509,860.13
  4. Step 4: Simplify right side
    334,677x = 259,957,347,065.02
  5. Step 5: Solve for x
    x = 259,957,347,065.02/334,677
  6. Step 6: Final answer
    x = 776,741.00

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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.