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Finding the Third Proportional to 501,500,160 and 759,834,432

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Solution

The third proportional to 501,500,160 and 759,834,432 is: 1,151,242,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,500,160 : 759,834,432 = 759,834,432 : x
  2. Step 2: Convert to fraction form
    501,500,160/759,834,432 = 759,834,432/x
  3. Step 3: Cross multiply
    501,500,160x = 759,834,432 × 759,834,432
  4. Step 4: Simplify right side
    501,500,160x = 577,348,364,052,762,624
  5. Step 5: Solve for x
    x = 577,348,364,052,762,624/501,500,160
  6. Step 6: Final answer
    x = 1,151,242,631.81

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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.