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Finding the Third Proportional to 604,031.50 and 846,657

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Solution

The third proportional to 604,031.50 and 846,657 is: 1,186,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,031.50 : 846,657 = 846,657 : x
  2. Step 2: Convert to fraction form
    604,031.50/846,657 = 846,657/x
  3. Step 3: Cross multiply
    604,031.50x = 846,657 × 846,657
  4. Step 4: Simplify right side
    604,031.50x = 716,828,075,649
  5. Step 5: Solve for x
    x = 716,828,075,649/604,031.50
  6. Step 6: Final answer
    x = 1,186,739.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.