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Finding the Third Proportional to 246,090 and 385,537

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Solution

The third proportional to 246,090 and 385,537 is: 604,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,090 : 385,537 = 385,537 : x
  2. Step 2: Convert to fraction form
    246,090/385,537 = 385,537/x
  3. Step 3: Cross multiply
    246,090x = 385,537 × 385,537
  4. Step 4: Simplify right side
    246,090x = 148,638,778,369
  5. Step 5: Solve for x
    x = 148,638,778,369/246,090
  6. Step 6: Final answer
    x = 604,001.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.