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Finding the Third Proportional to 259,066,260 and 370,467,801.50

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Solution

The third proportional to 259,066,260 and 370,467,801.50 is: 529,773,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,066,260 : 370,467,801.50 = 370,467,801.50 : x
  2. Step 2: Convert to fraction form
    259,066,260/370,467,801.50 = 370,467,801.50/x
  3. Step 3: Cross multiply
    259,066,260x = 370,467,801.50 × 370,467,801.50
  4. Step 4: Simplify right side
    259,066,260x = 137,246,391,948,243,408
  5. Step 5: Solve for x
    x = 137,246,391,948,243,408/259,066,260
  6. Step 6: Final answer
    x = 529,773,317.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.