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Finding the Third Proportional to 501,500,169 and 759,834,445.50

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Solution

The third proportional to 501,500,169 and 759,834,445.50 is: 1,151,242,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,500,169 : 759,834,445.50 = 759,834,445.50 : x
  2. Step 2: Convert to fraction form
    501,500,169/759,834,445.50 = 759,834,445.50/x
  3. Step 3: Cross multiply
    501,500,169x = 759,834,445.50 × 759,834,445.50
  4. Step 4: Simplify right side
    501,500,169x = 577,348,384,568,292,480
  5. Step 5: Solve for x
    x = 577,348,384,568,292,480/501,500,169
  6. Step 6: Final answer
    x = 1,151,242,652.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.