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Finding the Third Proportional to 264,755,762 and 577,182,457

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Solution

The third proportional to 264,755,762 and 577,182,457 is: 1,258,290,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,755,762 : 577,182,457 = 577,182,457 : x
  2. Step 2: Convert to fraction form
    264,755,762/577,182,457 = 577,182,457/x
  3. Step 3: Cross multiply
    264,755,762x = 577,182,457 × 577,182,457
  4. Step 4: Simplify right side
    264,755,762x = 333,139,588,668,556,864
  5. Step 5: Solve for x
    x = 333,139,588,668,556,864/264,755,762
  6. Step 6: Final answer
    x = 1,258,290,230.03

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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.