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Finding the Third Proportional to 357,592 and 756,656

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Solution

The third proportional to 357,592 and 756,656 is: 1,601,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,592 : 756,656 = 756,656 : x
  2. Step 2: Convert to fraction form
    357,592/756,656 = 756,656/x
  3. Step 3: Cross multiply
    357,592x = 756,656 × 756,656
  4. Step 4: Simplify right side
    357,592x = 572,528,302,336
  5. Step 5: Solve for x
    x = 572,528,302,336/357,592
  6. Step 6: Final answer
    x = 1,601,065.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.