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Finding the Third Proportional to 500,839,058 and 692,064,918

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Solution

The third proportional to 500,839,058 and 692,064,918 is: 956,302,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,839,058 : 692,064,918 = 692,064,918 : x
  2. Step 2: Convert to fraction form
    500,839,058/692,064,918 = 692,064,918/x
  3. Step 3: Cross multiply
    500,839,058x = 692,064,918 × 692,064,918
  4. Step 4: Simplify right side
    500,839,058x = 478,953,850,726,346,752
  5. Step 5: Solve for x
    x = 478,953,850,726,346,752/500,839,058
  6. Step 6: Final answer
    x = 956,302,914.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.