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Finding the Third Proportional to 430,232 and 668,352

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Solution

The third proportional to 430,232 and 668,352 is: 1,038,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,232 : 668,352 = 668,352 : x
  2. Step 2: Convert to fraction form
    430,232/668,352 = 668,352/x
  3. Step 3: Cross multiply
    430,232x = 668,352 × 668,352
  4. Step 4: Simplify right side
    430,232x = 446,694,395,904
  5. Step 5: Solve for x
    x = 446,694,395,904/430,232
  6. Step 6: Final answer
    x = 1,038,264.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.