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Finding the Third Proportional to 357,030 and 546,875

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Solution

The third proportional to 357,030 and 546,875 is: 837,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,030 : 546,875 = 546,875 : x
  2. Step 2: Convert to fraction form
    357,030/546,875 = 546,875/x
  3. Step 3: Cross multiply
    357,030x = 546,875 × 546,875
  4. Step 4: Simplify right side
    357,030x = 299,072,265,625
  5. Step 5: Solve for x
    x = 299,072,265,625/357,030
  6. Step 6: Final answer
    x = 837,667.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.