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Finding the Third Proportional to 319,298.63 and 490,926.94

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Solution

The third proportional to 319,298.63 and 490,926.94 is: 754,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,298.63 : 490,926.94 = 490,926.94 : x
  2. Step 2: Convert to fraction form
    319,298.63/490,926.94 = 490,926.94/x
  3. Step 3: Cross multiply
    319,298.63x = 490,926.94 × 490,926.94
  4. Step 4: Simplify right side
    319,298.63x = 241,009,257,963.13
  5. Step 5: Solve for x
    x = 241,009,257,963.13/319,298.63
  6. Step 6: Final answer
    x = 754,808.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.