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Finding the Third Proportional to 249,526 and 383,545

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Solution

The third proportional to 249,526 and 383,545 is: 589,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,526 : 383,545 = 383,545 : x
  2. Step 2: Convert to fraction form
    249,526/383,545 = 383,545/x
  3. Step 3: Cross multiply
    249,526x = 383,545 × 383,545
  4. Step 4: Simplify right side
    249,526x = 147,106,767,025
  5. Step 5: Solve for x
    x = 147,106,767,025/249,526
  6. Step 6: Final answer
    x = 589,544.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.