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Finding the Third Proportional to 344,544,603.75 and 529,589,971.13

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Solution

The third proportional to 344,544,603.75 and 529,589,971.13 is: 814,018,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,544,603.75 : 529,589,971.13 = 529,589,971.13 : x
  2. Step 2: Convert to fraction form
    344,544,603.75/529,589,971.13 = 529,589,971.13/x
  3. Step 3: Cross multiply
    344,544,603.75x = 529,589,971.13 × 529,589,971.13
  4. Step 4: Simplify right side
    344,544,603.75x = 280,465,537,516,178,336
  5. Step 5: Solve for x
    x = 280,465,537,516,178,336/344,544,603.75
  6. Step 6: Final answer
    x = 814,018,082.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.