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Finding the Third Proportional to 407,804,017 and 604,061,539.50

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Solution

The third proportional to 407,804,017 and 604,061,539.50 is: 894,768,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,804,017 : 604,061,539.50 = 604,061,539.50 : x
  2. Step 2: Convert to fraction form
    407,804,017/604,061,539.50 = 604,061,539.50/x
  3. Step 3: Cross multiply
    407,804,017x = 604,061,539.50 × 604,061,539.50
  4. Step 4: Simplify right side
    407,804,017x = 364,890,343,503,110,080
  5. Step 5: Solve for x
    x = 364,890,343,503,110,080/407,804,017
  6. Step 6: Final answer
    x = 894,768,879.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.