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Finding the Third Proportional to 595,501.88 and 1,298,075.63

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Solution

The third proportional to 595,501.88 and 1,298,075.63 is: 2,829,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,501.88 : 1,298,075.63 = 1,298,075.63 : x
  2. Step 2: Convert to fraction form
    595,501.88/1,298,075.63 = 1,298,075.63/x
  3. Step 3: Cross multiply
    595,501.88x = 1,298,075.63 × 1,298,075.63
  4. Step 4: Simplify right side
    595,501.88x = 1,685,000,328,219.14
  5. Step 5: Solve for x
    x = 1,685,000,328,219.14/595,501.88
  6. Step 6: Final answer
    x = 2,829,546.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.