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Finding the Third Proportional to 328,266 and 714,047

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Solution

The third proportional to 328,266 and 714,047 is: 1,553,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,266 : 714,047 = 714,047 : x
  2. Step 2: Convert to fraction form
    328,266/714,047 = 714,047/x
  3. Step 3: Cross multiply
    328,266x = 714,047 × 714,047
  4. Step 4: Simplify right side
    328,266x = 509,863,118,209
  5. Step 5: Solve for x
    x = 509,863,118,209/328,266
  6. Step 6: Final answer
    x = 1,553,201.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.