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Finding the Third Proportional to 292,417.50 and 637,719

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Solution

The third proportional to 292,417.50 and 637,719 is: 1,390,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,417.50 : 637,719 = 637,719 : x
  2. Step 2: Convert to fraction form
    292,417.50/637,719 = 637,719/x
  3. Step 3: Cross multiply
    292,417.50x = 637,719 × 637,719
  4. Step 4: Simplify right side
    292,417.50x = 406,685,522,961
  5. Step 5: Solve for x
    x = 406,685,522,961/292,417.50
  6. Step 6: Final answer
    x = 1,390,770.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.