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Finding the Third Proportional to 453,036,405 and 699,582,784.50

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Solution

The third proportional to 453,036,405 and 699,582,784.50 is: 1,080,301,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,036,405 : 699,582,784.50 = 699,582,784.50 : x
  2. Step 2: Convert to fraction form
    453,036,405/699,582,784.50 = 699,582,784.50/x
  3. Step 3: Cross multiply
    453,036,405x = 699,582,784.50 × 699,582,784.50
  4. Step 4: Simplify right side
    453,036,405x = 489,416,072,368,773,440
  5. Step 5: Solve for x
    x = 489,416,072,368,773,440/453,036,405
  6. Step 6: Final answer
    x = 1,080,301,863.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.