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Finding the Third Proportional to 314,726 and 499,119

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Solution

The third proportional to 314,726 and 499,119 is: 791,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726 : 499,119 = 499,119 : x
  2. Step 2: Convert to fraction form
    314,726/499,119 = 499,119/x
  3. Step 3: Cross multiply
    314,726x = 499,119 × 499,119
  4. Step 4: Simplify right side
    314,726x = 249,119,776,161
  5. Step 5: Solve for x
    x = 249,119,776,161/314,726
  6. Step 6: Final answer
    x = 791,544.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.