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Finding the Third Proportional to 306,880,514 and 657,291,076

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Solution

The third proportional to 306,880,514 and 657,291,076 is: 1,407,816,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,880,514 : 657,291,076 = 657,291,076 : x
  2. Step 2: Convert to fraction form
    306,880,514/657,291,076 = 657,291,076/x
  3. Step 3: Cross multiply
    306,880,514x = 657,291,076 × 657,291,076
  4. Step 4: Simplify right side
    306,880,514x = 432,031,558,589,237,760
  5. Step 5: Solve for x
    x = 432,031,558,589,237,760/306,880,514
  6. Step 6: Final answer
    x = 1,407,816,850.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.