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Finding the Third Proportional to 328,376 and 709,248

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Solution

The third proportional to 328,376 and 709,248 is: 1,531,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,376 : 709,248 = 709,248 : x
  2. Step 2: Convert to fraction form
    328,376/709,248 = 709,248/x
  3. Step 3: Cross multiply
    328,376x = 709,248 × 709,248
  4. Step 4: Simplify right side
    328,376x = 503,032,725,504
  5. Step 5: Solve for x
    x = 503,032,725,504/328,376
  6. Step 6: Final answer
    x = 1,531,880.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.