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Finding the Third Proportional to 502,970 and 760,955.75

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Solution

The third proportional to 502,970 and 760,955.75 is: 1,151,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,970 : 760,955.75 = 760,955.75 : x
  2. Step 2: Convert to fraction form
    502,970/760,955.75 = 760,955.75/x
  3. Step 3: Cross multiply
    502,970x = 760,955.75 × 760,955.75
  4. Step 4: Simplify right side
    502,970x = 579,053,653,458.06
  5. Step 5: Solve for x
    x = 579,053,653,458.06/502,970
  6. Step 6: Final answer
    x = 1,151,268.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.