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Finding the Third Proportional to 356,585,459 and 772,529,514

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Solution

The third proportional to 356,585,459 and 772,529,514 is: 1,673,657,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,585,459 : 772,529,514 = 772,529,514 : x
  2. Step 2: Convert to fraction form
    356,585,459/772,529,514 = 772,529,514/x
  3. Step 3: Cross multiply
    356,585,459x = 772,529,514 × 772,529,514
  4. Step 4: Simplify right side
    356,585,459x = 596,801,850,001,076,224
  5. Step 5: Solve for x
    x = 596,801,850,001,076,224/356,585,459
  6. Step 6: Final answer
    x = 1,673,657,281.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.