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Finding the Third Proportional to 503,496,002 and 777,604,323

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Solution

The third proportional to 503,496,002 and 777,604,323 is: 1,200,939,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,496,002 : 777,604,323 = 777,604,323 : x
  2. Step 2: Convert to fraction form
    503,496,002/777,604,323 = 777,604,323/x
  3. Step 3: Cross multiply
    503,496,002x = 777,604,323 × 777,604,323
  4. Step 4: Simplify right side
    503,496,002x = 604,668,483,148,288,384
  5. Step 5: Solve for x
    x = 604,668,483,148,288,384/503,496,002
  6. Step 6: Final answer
    x = 1,200,939,989.09

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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.