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Finding the Third Proportional to 314,740 and 499,138

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Solution

The third proportional to 314,740 and 499,138 is: 791,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,740 : 499,138 = 499,138 : x
  2. Step 2: Convert to fraction form
    314,740/499,138 = 499,138/x
  3. Step 3: Cross multiply
    314,740x = 499,138 × 499,138
  4. Step 4: Simplify right side
    314,740x = 249,138,743,044
  5. Step 5: Solve for x
    x = 249,138,743,044/314,740
  6. Step 6: Final answer
    x = 791,570.00

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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.