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Finding the Third Proportional to 288,748,401 and 601,291,362

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Solution

The third proportional to 288,748,401 and 601,291,362 is: 1,252,132,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,748,401 : 601,291,362 = 601,291,362 : x
  2. Step 2: Convert to fraction form
    288,748,401/601,291,362 = 601,291,362/x
  3. Step 3: Cross multiply
    288,748,401x = 601,291,362 × 601,291,362
  4. Step 4: Simplify right side
    288,748,401x = 361,551,302,015,815,040
  5. Step 5: Solve for x
    x = 361,551,302,015,815,040/288,748,401
  6. Step 6: Final answer
    x = 1,252,132,655.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.