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Finding the Third Proportional to 437,370 and 653,778

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Solution

The third proportional to 437,370 and 653,778 is: 977,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,370 : 653,778 = 653,778 : x
  2. Step 2: Convert to fraction form
    437,370/653,778 = 653,778/x
  3. Step 3: Cross multiply
    437,370x = 653,778 × 653,778
  4. Step 4: Simplify right side
    437,370x = 427,425,673,284
  5. Step 5: Solve for x
    x = 427,425,673,284/437,370
  6. Step 6: Final answer
    x = 977,263.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.