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Finding the Third Proportional to 292,051,008 and 437,166,720

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Solution

The third proportional to 292,051,008 and 437,166,720 is: 654,388,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,051,008 : 437,166,720 = 437,166,720 : x
  2. Step 2: Convert to fraction form
    292,051,008/437,166,720 = 437,166,720/x
  3. Step 3: Cross multiply
    292,051,008x = 437,166,720 × 437,166,720
  4. Step 4: Simplify right side
    292,051,008x = 191,114,741,075,558,400
  5. Step 5: Solve for x
    x = 191,114,741,075,558,400/292,051,008
  6. Step 6: Final answer
    x = 654,388,226.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.