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Finding the Third Proportional to 346,065.75 and 465,638.63

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Solution

The third proportional to 346,065.75 and 465,638.63 is: 626,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,065.75 : 465,638.63 = 465,638.63 : x
  2. Step 2: Convert to fraction form
    346,065.75/465,638.63 = 465,638.63/x
  3. Step 3: Cross multiply
    346,065.75x = 465,638.63 × 465,638.63
  4. Step 4: Simplify right side
    346,065.75x = 216,819,329,091.89
  5. Step 5: Solve for x
    x = 216,819,329,091.89/346,065.75
  6. Step 6: Final answer
    x = 626,526.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.