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Finding the Third Proportional to 358,904 and 755,008

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Solution

The third proportional to 358,904 and 755,008 is: 1,588,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,904 : 755,008 = 755,008 : x
  2. Step 2: Convert to fraction form
    358,904/755,008 = 755,008/x
  3. Step 3: Cross multiply
    358,904x = 755,008 × 755,008
  4. Step 4: Simplify right side
    358,904x = 570,037,080,064
  5. Step 5: Solve for x
    x = 570,037,080,064/358,904
  6. Step 6: Final answer
    x = 1,588,271.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.