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Finding the Third Proportional to 259,803,895 and 565,343,749

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Solution

The third proportional to 259,803,895 and 565,343,749 is: 1,230,210,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,803,895 : 565,343,749 = 565,343,749 : x
  2. Step 2: Convert to fraction form
    259,803,895/565,343,749 = 565,343,749/x
  3. Step 3: Cross multiply
    259,803,895x = 565,343,749 × 565,343,749
  4. Step 4: Simplify right side
    259,803,895x = 319,613,554,533,374,976
  5. Step 5: Solve for x
    x = 319,613,554,533,374,976/259,803,895
  6. Step 6: Final answer
    x = 1,230,210,788.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.