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Finding the Third Proportional to 249,547 and 383,959

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Solution

The third proportional to 249,547 and 383,959 is: 590,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,547 : 383,959 = 383,959 : x
  2. Step 2: Convert to fraction form
    249,547/383,959 = 383,959/x
  3. Step 3: Cross multiply
    249,547x = 383,959 × 383,959
  4. Step 4: Simplify right side
    249,547x = 147,424,513,681
  5. Step 5: Solve for x
    x = 147,424,513,681/249,547
  6. Step 6: Final answer
    x = 590,768.53

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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.