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Finding the Third Proportional to 413,272.13 and 556,075.13

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Solution

The third proportional to 413,272.13 and 556,075.13 is: 748,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,272.13 : 556,075.13 = 556,075.13 : x
  2. Step 2: Convert to fraction form
    413,272.13/556,075.13 = 556,075.13/x
  3. Step 3: Cross multiply
    413,272.13x = 556,075.13 × 556,075.13
  4. Step 4: Simplify right side
    413,272.13x = 309,219,544,643.77
  5. Step 5: Solve for x
    x = 309,219,544,643.77/413,272.13
  6. Step 6: Final answer
    x = 748,222.60

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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.