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Finding the Third Proportional to 572,460 and 841,185

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Solution

The third proportional to 572,460 and 841,185 is: 1,236,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,460 : 841,185 = 841,185 : x
  2. Step 2: Convert to fraction form
    572,460/841,185 = 841,185/x
  3. Step 3: Cross multiply
    572,460x = 841,185 × 841,185
  4. Step 4: Simplify right side
    572,460x = 707,592,204,225
  5. Step 5: Solve for x
    x = 707,592,204,225/572,460
  6. Step 6: Final answer
    x = 1,236,055.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.