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Finding the Third Proportional to 430,437 and 942,708

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Solution

The third proportional to 430,437 and 942,708 is: 2,064,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,437 : 942,708 = 942,708 : x
  2. Step 2: Convert to fraction form
    430,437/942,708 = 942,708/x
  3. Step 3: Cross multiply
    430,437x = 942,708 × 942,708
  4. Step 4: Simplify right side
    430,437x = 888,698,373,264
  5. Step 5: Solve for x
    x = 888,698,373,264/430,437
  6. Step 6: Final answer
    x = 2,064,642.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.