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Finding the Third Proportional to 341,384.63 and 748,075.50

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Solution

The third proportional to 341,384.63 and 748,075.50 is: 1,639,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,384.63 : 748,075.50 = 748,075.50 : x
  2. Step 2: Convert to fraction form
    341,384.63/748,075.50 = 748,075.50/x
  3. Step 3: Cross multiply
    341,384.63x = 748,075.50 × 748,075.50
  4. Step 4: Simplify right side
    341,384.63x = 559,616,953,700.25
  5. Step 5: Solve for x
    x = 559,616,953,700.25/341,384.63
  6. Step 6: Final answer
    x = 1,639,256.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.