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Finding the Third Proportional to 330,214,224 and 712,134,960

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Solution

The third proportional to 330,214,224 and 712,134,960 is: 1,535,779,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,214,224 : 712,134,960 = 712,134,960 : x
  2. Step 2: Convert to fraction form
    330,214,224/712,134,960 = 712,134,960/x
  3. Step 3: Cross multiply
    330,214,224x = 712,134,960 × 712,134,960
  4. Step 4: Simplify right side
    330,214,224x = 507,136,201,254,201,600
  5. Step 5: Solve for x
    x = 507,136,201,254,201,600/330,214,224
  6. Step 6: Final answer
    x = 1,535,779,395.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.