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Finding the Third Proportional to 262,915,784 and 567,401,776

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Solution

The third proportional to 262,915,784 and 567,401,776 is: 1,224,516,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,915,784 : 567,401,776 = 567,401,776 : x
  2. Step 2: Convert to fraction form
    262,915,784/567,401,776 = 567,401,776/x
  3. Step 3: Cross multiply
    262,915,784x = 567,401,776 × 567,401,776
  4. Step 4: Simplify right side
    262,915,784x = 321,944,775,407,954,176
  5. Step 5: Solve for x
    x = 321,944,775,407,954,176/262,915,784
  6. Step 6: Final answer
    x = 1,224,516,727.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.