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Finding the Third Proportional to 503,070 and 761,085

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Solution

The third proportional to 503,070 and 761,085 is: 1,151,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,070 : 761,085 = 761,085 : x
  2. Step 2: Convert to fraction form
    503,070/761,085 = 761,085/x
  3. Step 3: Cross multiply
    503,070x = 761,085 × 761,085
  4. Step 4: Simplify right side
    503,070x = 579,250,377,225
  5. Step 5: Solve for x
    x = 579,250,377,225/503,070
  6. Step 6: Final answer
    x = 1,151,430.97

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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.