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Finding the Third Proportional to 406,056,991.50 and 601,711,449.75

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Solution

The third proportional to 406,056,991.50 and 601,711,449.75 is: 891,640,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,056,991.50 : 601,711,449.75 = 601,711,449.75 : x
  2. Step 2: Convert to fraction form
    406,056,991.50/601,711,449.75 = 601,711,449.75/x
  3. Step 3: Cross multiply
    406,056,991.50x = 601,711,449.75 × 601,711,449.75
  4. Step 4: Simplify right side
    406,056,991.50x = 362,056,668,760,246,784
  5. Step 5: Solve for x
    x = 362,056,668,760,246,784/406,056,991.50
  6. Step 6: Final answer
    x = 891,640,031.67

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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.