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Finding the Third Proportional to 272,355,259.50 and 582,575,688

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Solution

The third proportional to 272,355,259.50 and 582,575,688 is: 1,246,146,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,355,259.50 : 582,575,688 = 582,575,688 : x
  2. Step 2: Convert to fraction form
    272,355,259.50/582,575,688 = 582,575,688/x
  3. Step 3: Cross multiply
    272,355,259.50x = 582,575,688 × 582,575,688
  4. Step 4: Simplify right side
    272,355,259.50x = 339,394,432,248,673,344
  5. Step 5: Solve for x
    x = 339,394,432,248,673,344/272,355,259.50
  6. Step 6: Final answer
    x = 1,246,146,055.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.