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Finding the Third Proportional to 292,546,712 and 609,307,336

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Solution

The third proportional to 292,546,712 and 609,307,336 is: 1,269,046,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,546,712 : 609,307,336 = 609,307,336 : x
  2. Step 2: Convert to fraction form
    292,546,712/609,307,336 = 609,307,336/x
  3. Step 3: Cross multiply
    292,546,712x = 609,307,336 × 609,307,336
  4. Step 4: Simplify right side
    292,546,712x = 371,255,429,703,416,896
  5. Step 5: Solve for x
    x = 371,255,429,703,416,896/292,546,712
  6. Step 6: Final answer
    x = 1,269,046,666.65

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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.