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Finding the Third Proportional to 301,873,808 and 652,216,608

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Solution

The third proportional to 301,873,808 and 652,216,608 is: 1,409,153,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,873,808 : 652,216,608 = 652,216,608 : x
  2. Step 2: Convert to fraction form
    301,873,808/652,216,608 = 652,216,608/x
  3. Step 3: Cross multiply
    301,873,808x = 652,216,608 × 652,216,608
  4. Step 4: Simplify right side
    301,873,808x = 425,386,503,751,025,664
  5. Step 5: Solve for x
    x = 425,386,503,751,025,664/301,873,808
  6. Step 6: Final answer
    x = 1,409,153,402.77

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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.