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Finding the Third Proportional to 342,468 and 708,804

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Solution

The third proportional to 342,468 and 708,804 is: 1,467,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,468 : 708,804 = 708,804 : x
  2. Step 2: Convert to fraction form
    342,468/708,804 = 708,804/x
  3. Step 3: Cross multiply
    342,468x = 708,804 × 708,804
  4. Step 4: Simplify right side
    342,468x = 502,403,110,416
  5. Step 5: Solve for x
    x = 502,403,110,416/342,468
  6. Step 6: Final answer
    x = 1,467,007.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.