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Finding the Third Proportional to 507,827,808 and 715,133,458

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Solution

The third proportional to 507,827,808 and 715,133,458 is: 1,007,065,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,827,808 : 715,133,458 = 715,133,458 : x
  2. Step 2: Convert to fraction form
    507,827,808/715,133,458 = 715,133,458/x
  3. Step 3: Cross multiply
    507,827,808x = 715,133,458 × 715,133,458
  4. Step 4: Simplify right side
    507,827,808x = 511,415,862,751,037,760
  5. Step 5: Solve for x
    x = 511,415,862,751,037,760/507,827,808
  6. Step 6: Final answer
    x = 1,007,065,494.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.