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Finding the Third Proportional to 475,483 and 705,365

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Solution

The third proportional to 475,483 and 705,365 is: 1,046,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,483 : 705,365 = 705,365 : x
  2. Step 2: Convert to fraction form
    475,483/705,365 = 705,365/x
  3. Step 3: Cross multiply
    475,483x = 705,365 × 705,365
  4. Step 4: Simplify right side
    475,483x = 497,539,783,225
  5. Step 5: Solve for x
    x = 497,539,783,225/475,483
  6. Step 6: Final answer
    x = 1,046,388.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.