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Finding the Third Proportional to 346,323 and 553,260

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Solution

The third proportional to 346,323 and 553,260 is: 883,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,323 : 553,260 = 553,260 : x
  2. Step 2: Convert to fraction form
    346,323/553,260 = 553,260/x
  3. Step 3: Cross multiply
    346,323x = 553,260 × 553,260
  4. Step 4: Simplify right side
    346,323x = 306,096,627,600
  5. Step 5: Solve for x
    x = 306,096,627,600/346,323
  6. Step 6: Final answer
    x = 883,847.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.