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Finding the Third Proportional to 306,701,575.50 and 660,169,965

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Solution

The third proportional to 306,701,575.50 and 660,169,965 is: 1,421,004,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701,575.50 : 660,169,965 = 660,169,965 : x
  2. Step 2: Convert to fraction form
    306,701,575.50/660,169,965 = 660,169,965/x
  3. Step 3: Cross multiply
    306,701,575.50x = 660,169,965 × 660,169,965
  4. Step 4: Simplify right side
    306,701,575.50x = 435,824,382,688,101,248
  5. Step 5: Solve for x
    x = 435,824,382,688,101,248/306,701,575.50
  6. Step 6: Final answer
    x = 1,421,004,707.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.